Grade 9: Solving Quadratic Equations and Rational Algebraic Equations (Part I)

You have already mastered how to solve quadratic equations in standard form, find the roots of an equation as well as the sum and product of the roots. But what if the quadratic equation involves rational expressions? Let us learn how this could be done. 😉
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Note: This is only the first part of the lesson. The second part which consists of word problems is to be uploaded within this week. 😊

[@mistkutzuki2608]

Thank you very i was so stressed out because i cant understand my own teacher😂😂😂 youre a life saver

[@sirchad]

You're welcome Mist. 😊

[@ivankurtcandelaria3330]

So sad

[@rvnds_24]

29 Minutes matagal bago matapos! Pero this is the right video for me to understand this topic. Thank you Sir. Makakapag sagot na ako ng Learning Tasks ☺

[@sirchad]

You're welcome Raven. 😊 Masaya ako na kahit may kahabaan ang aking mga video tutorials ay natututo talaga kayo. Which is yun naman talaga ang goal ko, ang makatulong sa inyong pagaaral. Thank you. 😊

[@godoflunox633]

@@sirchad maraming salamat po

[@sirchad]

@@godoflunox633 you're welcome. 👍

[@michellegatchalian8772]

Huhu maraming salamat sir chad!!! Mahirap talaga magaral magisa pag modular, buti andyan po kayo, gets na gets ko yung mga tinuturo nyo po kasi taglish. Mabuhay ka sir! : )

[@sirchad]

Maraming salamat Michelle sa suporta. Hindi ako magsasawang gawin ang mga video tutorials upang lalong makatulong sa inyo. 😊😉

[@tami_52023]

College student po ako Pero pinapanood ko to para sa module ng grade 9 kong kapatid. Nakalimutan ko na po kase kung pano i solve ang rational algebraic expression. Dahil dito bumalik yung kaalaman ko sa math before. Thank you po

[@sirchad]

You're welcome Janessa. 😊 Masaya akong nakakatulong ako sa inyo during this hard time. 👍

[@bellcranel7635]

I've been stressful since I open the module and i coudn't understand the method. Its different from face to face class so Im very thankful that a teacher like you will help us in this time of pandemic. Thankyouuuu!!❤

[@sirchad]

You're welcome Maybelle. 👍

[@whahahacubero8135]

Knee down!!! Grabe galing nyo po sir. Ilabyou na agad😁

[@christalsvlogs2479]

wow HAHAHAHAHAHA

[@masterhalim8263]

i like the way you solve quadratic equations. simple and clear. thank you

[@spatulajr.3302]

Life Saver ka talaga Sir Chad. Thank you po 😭

[@aenims6653]

Sir you're so very helpful! Thank you very much for your efforts just for us to understand things

[@sirchad]

You’re welcome Aenims 😊 It is really great to hear that my video tutorials help students nowadays. Thank you for the appreciation. ☺️

[@kerbyvicente4070]

nc ito gusto ko may recap sa mga nanunang lesson

[@zhailadenissegentilizo1084]

thank you po nagets ko po yung lesson unlike po sa iba tuwing nag se-search po ako kung pano makuha yung lcd hindi po nila na e-explain ng maayos kaya medyo naguguluhan po ako btw. thank youuuu po ulit

[@sirchad]

You're welcome Zhaila. 😊 I am happy na natulungan kita. 👍

[@JM-qb4mp]

Thank for this video sir chad! It really helps

[@madeyoursketch32]

Thank you so much sir,pero ang haba ng solving,but i will try my best to solve it in school correctly 🦋

[@aldrichsamloma7590]

this is a hella long equation for my brain to understand.. help. thanks tho it helped me

[@sirchad]

Hello Aldrich. 😊 You can always message me in my Facebook Page in case you have questions in your mind. 👍😊

[@richmonddecastro682]

Galing nyo po mag explain.dati po nahihirapan akong makaintindi ng mga lesson sa math,pero pag kayo nag explain naiintindihan ko, salamat po sir!

[@sirchad]

Your welcome Richmond. :)

[@iZAPMath]

Very helpful and step by step explanation! Great job, Sir Chad!

[@sirchad]

Thank you iZAP. 😁 I also checked your channel and I can say that your knowledge in Mathematics can really help young minds to have a good foundation.

[@iZAPMath]

@@sirchad Thank you so much, Sir Chad!

[@sirchad]

@@iZAPMath you're welcome and thank you also iZAP. 😁

[@mystiquesonia962]

Omg buti na lang may naisagot ako sa aking pagsusulit, thank you so much for making this vid!! It helps me a lot!! ^^

[@sirchad]

Wow. That’s a great news. 😊 You’re always welcome Ivy. 😊 Asahan nyong marami pang video tutorials ang aking iaupload upang mas lalo pang makatulong sa inyo. 😁

[@ProGamer-gb4py]

Galing nyu po mag explain completed datails talaga..

[@sirchad]

Thanks for appreciation. 😊

[@misiabaydal791]

May pag asa na pumasa

[@sirchad]

Makakapasa ka Misia, tiwala lang at sipag at tyaga. 😉👍

[@celesteblack9230]

I've never been so confused my whole life😂 thanks, sir❤️

[@delrosariorichmond9801]

Hope the part 2 will release asap po hehe. Topic napo sya for our tom's math topic. Nag aadvance nako para nde na mahirap hahaha thanks po!

[@sirchad]

Hello Richmond, I will be uploading the Part 2 of this topic within the day. Stay tuned. 😊

[@sirchad]

Here’s the link for the Part II. kzbin.info/www/bejne/joiWlYivlN2tasU

[@patriciariogelon5156]

Sir thanku po dito😁 wal Oo talaga akong matutunan sa self learning module buti nalang may ganito 😅 thank yiu po talaga😄

[@sirchad]

You're welcome Patricia. 👍 I am happy that I can help you. 😁

[@khatedelacruz9833]

Thankyou sir im not done watching but i think i get it nowww how to solve the lesson💖

[@user-rf7ss1li7b]

Thank you po 😊 huhu struggle ang pagtuturo sa pamangkin for her module (kasi medyo nalimutan ko na rin yung lesson eh nung high school ako) accounting graduate ako pero ako pa rin takbuhan pagdating sa math nakakaloka Haha thank you sir for this video 😊 na-refresh akech.

[@sirchad]

You're welcome Josajen. 😊 Nakakataba ng puso na malamang nakakatulong ako sa inyo. 😁 Danas ko din ang nararanasan mo ngayon. Kaya sa panahon ngayon ng new normal tulungan lang talaga ang magagawa natin para sa isa't isa. 😉

[@mikyramirez7055]

Maraming salamat po ulet sirr nagegetss ko po talaga agd! Lalo na po wala pong nagpapaliwanag sakin kaya worth it po talaga manood ng videos nyo!😊♥️

[@sirchad]

You're always welcome Miky. Maraming salamat din sa lagi nyong panunuod ng mga video tutorials ko. 😊

[@vernaantones4000]

Thank you ngayun po alam ko na gagawin ko😊

[@sirchad]

You're welcome Verna. 😊

[@ellainedalde7897]

Hi sir chad.. Stressed nanay here 😂😂😂 Pero thank you kasi i found your videos.. Napakalinaw nio po mag explained...nalessen ang stress ko.. Dalawang anak ko nag momodule pati ako ako nag momodule na din.. Thank you po sa video mo..

[@alvinpajarillaga91]

Thank you so much sir you always make the topic easy

[@sirchad]

You're welcome Alvin. 😊

[@leaalcaraz9165]

Sir thank you po ang lake pong stress nawala saken........ang galing niyo po mag turo.😊

[@sirchad]

You're welcome Lea. 😊 I am grateful to help you. 😉

[@angelabaes1566]

Thankyou so much po sir, It helps me a lot.

[@sirchad]

Welcome Angela. 😊

[@arabellagraceregidor2940]

thak u po sir,nagets ko na po yung lesson namin!

[@sirchad]

You're welcome Arabella. 😊

[@phoebeannyusay3894]

Thank you po Sir! ito po lesson namin bukas eh hehe salamat po!!

[@sirchad]

Welcome Phoebe. 😊 Hope that this video will help you on your lessons.

[@arrianeadsuara7249]

thank you po talaga,nahihirapan na po ako kase sa sariling kong module🤣❤

[@sirchad]

Your welcome nature lover. Glad to hear that my YT channel helps you a lot. 😊

[@jen_na2979]

Thank you sir Ang linaw niyo po mag turo^^

[@sirchad]

You're welcome Jenna. 😊 Masaya akong natututo kayo sa mga video tutorials ko. 😊

[@empty_buttle8371]

Habang na nonood ako napansin ko yung 1/2+3/4 ay kaparehas sa Module ko Tnx for your Lesson Sir!

[@sirchad]

Ganun ba Empty Buttle. 😊 Mabuti at nakatulong ako sayo. You're welcome. 👍😉

[@ihsbabfwtmsnty1235]

Hi sir, this is really a big help po. Kanina ko pa po hindi ma gets yung lesson sa module ko then nagtry ako magsearch sa yt and then i'm here HAHAHAHHAHAHA. Thanks po

[@sirchad]

You're welcome Joy. 😊 Asahan mong mas marami pa akong video tutorials na iaupload na mas makakatulong sa inyo. 👍😊 Stay tuned!

[@joshelledelosreyes2684]

waaaaah i finally understand how to get the lcd HAHAHAHA thank youuu!

[@sirchad]

You're welcome Joshelle. 👍😊

[@robin1486]

wahhhh very thankful poooo !!!!

[@sirchad]

Your welcome Ashley. 😊

[@jeliyen9123]

thank u po sir, kahit di ko masyadong gets ikot ng solution, sana magets ko na sa next video🤣

[@sirchad]

Hello Jeli. Kayang kaya mo yan. 👍

[@laurenkarenlawson1112]

Sakton sakto po, gulong gulo na ako sa lesson buti nahanap ko to thank u po😍

[@sirchad]

Your welcome Lauren. 😉

[@blahblah3820]

Thank you very much sir!

[@sirchad]

Most welcome!

[@arnelsondelacruz6458]

Dahil sayo sir naintindihan ko na😂

[@sirchad]

That's a great news Arnelson. 😊 Thanks for checking my channel. 👍😊

[@markjovenumali7101]

natulungan mo po ako ng sobra thank you poooooo

[@sirchad]

You're welcome J1gso. 😊 Masaya akong natutulungan ko kayo. 😁

[@zitaaparre8170]

Thank You😍 naiintindihan kona

[@sirchad]

Welcome Zita. 😉

[@loriederoxas2302]

Thank you sir! ❤️

[@sirchad]

Most welcome! 😉

[@mio9626]

Thankyou ser dahil dito di ko na kailangan kopyahin yung nasa answer key AHHAHAHAHAHHAHAHA charot

[@sirchad]

Hello Shelbbyyy, ang objective ng mga video tutorials na inaupload ko ay makatulong sa inyo kung paano isolve ang mga tanong sa inyong mga module. 😊 Sa ganitong paraan, malalaman nyo na kung paano ba nakukuha ang mga sagot na nakasulat sa inyong mga answer key. 😁

[@AngelinaReyes_]

thank u po sir! godbless

[@sirchad]

Your welcome Angelina. 😊

[@zayinbeatrice2656]

Thank u po sir gets na gets ko

[@sirchad]

You're welcome Zayin. 😊 Masaya akong natututo kayo sa mga video tutorials ko. 😊

[@isabeleviiikurta4135]

salamat sir! nakatulong ito

[@sirchad]

You're welcome Ririka. Nawa ay mapanuod mo pa ang iba ko pang mga video tutorials upang higit pang makatulong sa inyo. 😊

[@ladylyncaraan3339]

Sir napakalaking tulong

[@sirchad]

It's really nice to know that I can help during this new normal Ladylyn. 😉👍

[@angelomanlapig6728]

Thank you sir !

[@sirchad]

You're welcome Angelo. 😁👍

[@leenahbabao3501]

Thank you sir!!!

[@sirchad]

Your welcome Leenah. 😊

[@donbelle9456]

Thank you so much po! It helps po.

[@sirchad]

You're welcome Chaeng. 😊

[@jayceenazallevi3854]

Hi sir thank you for this video plz make a part 2 ASAP po😊

[@jayceenazallevi3854]

Sir please make how to solve a problem I am really difficult to solve them.

[@sirchad]

@@jayceenazallevi3854 hello Jaycee, I will be uploading the Part 2 of this topic within the day. Stay tuned. 😊

[@sirchad]

Here’s the link for the Part II. kzbin.info/www/bejne/joiWlYivlN2tasU

[@seanwaynemalapitan410]

Thank you ☺️💖 so much

[@sirchad]

You're welcome Sean Wayne. 😊👍

[@m_jonalynn]

Salamat po mas naintindihan ko po Ang lesson namin 👍💜

[@sirchad]

You're welcome Jonalyn. I am happy to help you. 😊

[@aether5715]

Thank you kuya. Hnd kse ako makasunod sa klase dahil sa mata ko.

[@gialmojica7327]

thank you po sir you help me a lot

[@sirchad]

Welcome Gial. 😊

[@xela3822]

Thank you po sir may masasagot na din po ako sa mga task ko T^T

[@sirchad]

You're welcome Alex. 😉 Kaya mo yan. 👍

[@mechaellamaedato-on4387]

thank you po! big help po ito!

[@sirchad]

You're welcome Mechaella. 👍😁

[@jorgeabogz2471]

Sana po may part two sir

[@sirchad]

Here’s the link for the Part II. kzbin.info/www/bejne/joiWlYivlN2tasU

[@jhasselmaetamboong7081]

3:02

[@sweetpotato8466]

Sana maging ksing talino tayo sir HAHAHAHA

[@sirchad]

You're already great because you are doing your very best to learn Mathematics. Just keep on practicing more in answering mathematical problems. 😊

[@ma.ninabonitabungalon5776]

.sir gud am po pano po b to i solve * a certain pipe can fill up a tank 2 hour faster than another pipe.it takes 3 and hours for both pipes to fill up the same tank.in how many hours would the first pipe fill up the tank

[@sirchad]

Hello Ma. Niña, can you please complete the word problem? The sentence "It takes 3 and hours for both pipes to fill up the same tank". It takes 3 and ___ hours? I think the problem is incomplete.

[@Senai29920]

salamat ser hirap intindihin ng nasa module e

[@sirchad]

Pleasure to help. Yun talaga ang goal ng YT channel na ito. 😊

[@carlozxc7236]

share ko lng po Is nung grade 7 ako 73 lng grade ko sa math as in wla akong alam at wla akong gana sa math hanggang nag grade 9 ako na gusto ko na matuto dahil nag pandemya nung grade 8 ako pag d ko alam yung math nangongopya ako Kasi wla tlga ako alam kung pano mag solve or sagutan Ngayon na grade 9 ako parang Wla paren nag babago sakin Kaya mag fofocus muna ako sa math Un nlng pinanghihinaan ko :(

[@blinkeu1573]

Thanks a lot :)

[@sirchad]

You're welcome!

[@ma.sigridbarreto7583]

Yes sir thankyouuuuu

[@sirchad]

You're welcome Ma. Sigrid. 😊

[@jerseyricodayday2508]

thank u po nagets ko agad btw po may request po sana ako kung paano po yung Quadratic Equations by completing the square and Quadratic formula,Di ko po talaga kase magets teacher namin and yung sa mga ibang vids na napapanood ko thanks po in advance.

[@sirchad]

Hello Jersey. This is noted. I will include this in the list of topics I will cover. Thank you. 😊

[@jermie5412]

Salamat ng marami sir!!!

[@sirchad]

You're welcome eimrej. 😊

[@sheanlein7044]

sir naman focus na focus akong nagaaral tapos may paganon sa 19:52 naka earphones pako😭 btw thaank youu so much poo!!

[@christalsvlogs2479]

hello may tanong po ako plss sana masagot kasi importanteng importante toh: kailangan po bang laging ididivide sa left yung a(a+5)? for example lang po yung a(a+5).......................11:58 dyan po yung tinatanong ko ty po sana masagot!

[@aljohnyamomo8706]

Salamat master✨

[@sirchad]

You're welcome Aljohn. 😊 Sana ay marami kayong matutunan sa mga susunod ko pang mga videos. 👍😊

[@czarinamae1128]

Thank u sir❤

[@sirchad]

You're welcome Czarina. 😊

[@yeonseolee6912]

Sir ask lang po dun po sa example no.2 bat d po pinalitan ung sign nung inarange na po sya dun po sa may 2x²-6x+2x+8-6=0 dba po kapag nililipat natin ung no. nag papalit tau ng sign?

[@sirchad]

Hello Trixie. Salamat sa iyong tanong. 😊 Tandaan natin na magbabago lamang ang sign ng mga numbers kapag lumiban sya ng equal sign. Kung mapapansin mo, inarrange ko lang yung mga terms, hindi sila lumiban sa right side ng equal sign, therefore, hindi natin kailangang palitan ang signs nila. Okay ba? 👍😊

[@yeonseolee6912]

@@sirchad ahhh thank you po sir..

[@sirchad]

@@yeonseolee6912 you're welcome Trixie. 😊

[@jaspergarciaadrias5672]

Thanks

[@coffeewp5912]

Sir wala pa pong part 2?? Btw, thank you po, naintindihan ko siya ng malinaw hehe♡

[@sirchad]

You're welcome Coffee. The part 2 of this topic will be uploaded within the day. Stay tuned. 😊

[@sirchad]

Here’s the link for the Part II. kzbin.info/www/bejne/joiWlYivlN2tasU

[@aquilinamarquez9178]

Thank you po

[@sirchad]

Welcome Aquilina. 😊

[@sheannekayevirtudazo]

Sir thank u po🤗❤️

[@sirchad]

You’re welcome Sheanne. 😊

[@valak5859]

Sir paano po kung ang LCD 1(X-2) tatanggalin po ba yun 1

[@sirchad]

Hello Jm, salamat sa iyong tanong. 😊 Tama ka, maaari mo nang tanggalin yung 1. 😊

[@anthonettedelvalle7141]

Hi Sir! From antipolo 😍 thanks po

[@sirchad]

You're welcome Anthonette. 😁

[@yxkhxei9670]

HAHAHAHAHAHA HALA HOY ANTHONETTE SING TO HAHAHAHAHAHA

[@anthonettedelvalle7141]

HAHAHAHA IKAW HA

[@yxkhxei9670]

@@anthonettedelvalle7141 GAHAHAHA TAMANG NOOD NAKAKABOBO NA YUNG MATH

[@shellarosederama8034]

Sir saan po nakuha yung 2 sa number 3? Yung sa pagsisimply po, saan po nakuha yung 2

[@hyakimmary1723]

Hi sirr thankyouu pooo💖

[@sirchad]

You're welcome Edgar. 😊

[@genyllasaballa6394]

Sir thank you

[@sirchad]

Always welcome Genylla. 😊

[@aicellegeromo6290]

Thank you po Sir

[@sirchad]

Welcome Aicelle. 😊

[@johnleecaezaricaro2557]

Ser ilabas mona yung part 2 nito😁😁

[@sirchad]

Within this week Johnlee. 😉

[@sirchad]

Here’s the link for the Part II. kzbin.info/www/bejne/joiWlYivlN2tasU

[@marcorosano7168]

Ty sir

[@sirchad]

You're welcome Marco. 😊

[@richmondredoma1606]

salamat po

[@sirchad]

You're welcome Richmond. 👍

[@ralphlawrenceotaramelana4425]

Sir, pano po kung yung symbol is < (less than) or > (greater than) po yung ginamit?

[@jvshua517]

Pano po siya maiinvolve sa real life situation yung rational algebraic equations?

[@sirchad]

Hello p1kq, salamat sa iyong tanong. 😊 Maaaring mainvolve ang rational algebraic sa real life situation kung ang pinaguusapan ay word problems. Asahan mong within this week, iaupload ko ang video tutorial about dito. 😊 Salamat. 😁

[@sayanaraelicovera7666]

thank you pooo nagets ko poo

[@sirchad]

You're welcome Sayanara. 😊

[@liyaanics]

Thank you po!

[@sirchad]

You're welcome Lian. 😊

[@johnranielcay4068]

Thank you po❤️

[@sirchad]

You're welcome Kin. 😊

[@thedmarionsuy9195]

I love you po sir😚

[@sirchad]

Thank you Thed Marion. 😊

[@kennethwilfred6370]

Sir di po ba magkakaroon ng distributive property yung lcd?

[@sirchad]

Hello Kenneth, what do you mean distributive property? Pwede kang magbigay ng sample question. 😊

[@aicertap_3354]

Sir thankyou as masgets koto❤

[@sirchad]

Maraming salamat Patrecia. 😊 Sana ay panuorin mo pa ang mga susunod ko pang mga videos upang mas higit na makatulong sa inyo. 😊

[@nethjeebalogo4808]

Waiting po sa part 2,sir parequest naman po kapag ang given ay 1/x + x/2 at 2/x - x+1/5

[@sirchad]

Hello Jeneth. Iaupload ko ang part 2 within the day. Stay tuned. 😊

[@sirchad]

Regarding naman sa iyong katanungan, maaari mong sundan ang process na ginawa ko sa video tutorial na ito. Maaari mong hanapin ang factors nang denominators ng 2 ratios and after than, you can see the LCD of them. For example is the 1/x + x/2. You just need to find the factors of x and 2. And kung mapapansin mo, ang factors ng x is x • 1 and ang 2 is 2 • 1. Therefore, ang matitira lang ay 2 and x. So the LCD of these 2 ratio will be 2x. Same process lang din ang iaapply sa 2nd given ratio mo. 😊 Sana ay nakatulong ako sayo. 😊

[@nethjeebalogo4808]

@@sirchad thaankkyou poo🥰

[@sirchad]

@@nethjeebalogo4808 You're always welcome Jeneth. 😊

[@emelnaemelah5140]

Thankyou sir puro ako ml e

[@sirchad]

You're welcome. 😁 Walang problema mag-ML, basta alam mo lang dapat ang priority mo bilang isang estudyante. 👍😊

[@a1-buenviajecarlowenoriond917]

Pano naman po kung yung denominators ng left side of the equation is isang constant/variable lang ex. 1/x + x/2 = 11/6

[@sirchad]

Hello Carl. Thanks for your question. 😊 The process of answering it will be the same. 😉😁

[@justinchrizttorillas8302]

Salamat po ser From Calamba

[@sirchad]

You're welcome Jc. 😊 Nawa ay mapanood mo pa ang mga susunod ko pang iaupload na videos upang mas higit pang makatulong sa inyo. 😊

[@kokoperoxdiana]

Hshshshhshs

[@shylne5743]

HAHAHAHAHA

[@justinchrizttorillas8302]

@@kokoperoxdiana HAHAHAHA

[@GammystinY]

Sana ol HAHAHAHHAQHQHHAHHAHAH

[@ashleypigon2082]

Thank you po, pwede po ba parequest kapag ang given ay 1/t +10=1/t-1?

[@sirchad]

Hello Ashley. Salamat sa iyong tanong. Maaari kang magdirect message sa aking Facebook Page upang mas lalo pa kitang matulungan. 👍🏻 Intayin ko ang message mo. 😊