Converting a Circle From General Form to Standard Form

[@danihoon8332]

".. so if you remember how to complete the square-" i dont. i dont remember

[@jonathanturner3269]

and so the math rabbit hole begins

[@gw5479]

Same boat, my algebra teacher seriously failed me and now i'm stumbling through pre-calculus

[@BalrogUdun]

George Washingpun try going back to school after 3 years

[@deosegovia5147]

me

[@miamacapobre3823]

(2)

[@apple_bottom_jeans675]

The teacher explained the method of converting the equation from general to standard form, but she completely skipped over the "completing the square" part and just put the answer down next. So I was confused like "where did those two extra numbers come from?" and due to online learning, it's hard to get word back on time. But so glad I watched this! It really made this entire thing easier, thank you!

[@crowsmathclass]

You’re welcome. Glad it helped. Good luck in your class.

[@zkskakksis1514]

@@crowsmathclass it helped me as well, Thanks!

[@sc092270]

Glad it helped.

[@rickcedeno5193]

My teachers version was more complicated Glad i watched this

[@crowsmathclass]

R CEDENO Glad it helped.

[@brittanymcgrogan2722]

You've shown me more tricks than teachers have ever been able to in 8 minutes! I'm in pre-calc right now and I have to go up to diff eq. eventually for Engineering and I've still been dreading fractions. Happily subscribed, thank you so much!

[@crowsmathclass]

Thank you. Good luck in all of your math classes.

[@hannatuknol8909]

Helpful?? Dude! You don't even know how much you saved me! Thank you! 😳😆😆

[@crowsmathclass]

You’re welcome. Glad it helped.

[@leahshanaia8602]

Never knew it was this simple thank you for explaining it so simply!!!💜💜💜

[@crowsmathclass]

You’re welcome. Glad it helped.

[@BigshotGarlic28]

The two examples really made me sure I understood this because I was a little confused. It really made it feel like you were trying to teach me

[@crowsmathclass]

Thank you. Glad it helped.

[@sagarjyotipathak9236]

Thanks a lot. It's so easy to figure out the centre and the radius of any circle if you follow these steps.

[@crowsmathclass]

You''re welcome. Glad it helped.

[@ahmadkarim2994]

thank u .. ur my hero for today 😂

[@crowsmathclass]

You're welcome. Glad it helped.

[@patrickmcbrien9303]

Thank you. I have my EOC tomorrow and this really helped.

[@crowsmathclass]

You’re welcome. Good luck tomorrow.

[@patrickmcbrien9303]

@@crowsmathclass Thank you

[@3mr441]

The bob Ross of math

[@maplemaple1439]

Steve I have 7 missing assignments I desperately need to make up but your video helped a lot

[@crowsmathclass]

Glad it helped.

[@s4k136]

Thank you so much you’re a life savior.

[@crowsmathclass]

You’re welcome.

[@habibayasser5222]

I have a math quiz and i needed help urgently omg thanks, with all that online classes it is sooo hard to focus on math omg thanks again

[@crowsmathclass]

You’re welcome. Glad it helped.

[@wolf_flowers_]

i love you smooth talking man.

[@ddetarche9326]

Thanks for this! My teacher explains too fast- I can’t follow but glad I found this video🙏 And also my teacher adds too many steps when it can be just as simple as this. >.>

[@crowsmathclass]

You’re welcome. Glad it helped.

[@crowsmathclass]

You’re welcome. Glad it helped.

[@yusufbey9634]

this guy sounds like eugene from the walking dead xD great teacher, i felt happy watching this

[@sierenakloes3813]

This is the best explanation. Thank you so much!

[@crowsmathclass]

Thank you.

[@ryebread5667]

How do you do this but with a number before the variable such as 2x^2+2y^2+12x+20y+36=0? Im very confused. I don't understand how to factor it since there is a two before it.

[@araaaiz7]

take it common, like in vertex form

[@kimamarille6201]

You deserved my susbcribe, thank u.You saved me for today.

[@crowsmathclass]

You’re welcome. Glad it helped. Thank you for the sub.

[@cedriccoste649]

Sir, How did the 9/4 became negative

[@soop6321]

What's that site you used to write out the equation?

[@crowsmathclass]

I use one note.

[@Tommy_007]

Can you give an example (doesn't have to be practical) where this conversion is necessary? By that I mean: Is there an example where the general form "pops up" naturally (and the standard form does not)?

[@crowsmathclass]

We want to convert so we can see the center and radius.

[@Tommy_007]

@@crowsmathclass That was clearly NOT my question. Please don't assume I'm stupid. But I'm looking for an example.

[@rightthere6550]

Can you explain where the 8x and the 2y come from in the first equation, does that represent a point ON the circle

[@crowsmathclass]

Part of the problem. It is the equation of a circle. We are just writing it in a different form.

[@2011rosye]

great job! this was easier to understand

[@crowsmathclass]

Thank you. Glad it helped.

[@yato6051]

Where did the 25 came from?

[@AnishaPillay]

Thanks! You know how to explain well :D

[@crowsmathclass]

Thank you. Glad it helped.

[@Henry-ep6qy]

Haha that pause when he said EF instead of Ey. I thought he was going to go ballistic. Thanks for the help!

[@ERC_7]

Ty man, teacher made it complicated in class

[@crowsmathclass]

You’re welcome. Glad it helped.

[@Dinskter_511]

am I going to get the half of 2 only and square it? or the half of -2 and then square it?

[@crowsmathclass]

It doesn't matter. Because you are squaring the number you half. So it will always be positive. 2/2 =1 and 1^2 = 1 -2/2 = -1 and (-1)^2 = 1

[@Dinskter_511]

Steve Crow THANK YOU SIR!

[@eyeorigins77]

What if the x^2 and the y^2 has a constant(?) (is that the right term? English is not my first language). For example: 2x²+2y²+16x-4y+17=0

[@crowsmathclass]

It would be called a coefficient. You would divide each term by the coefficient and then work it like I did in the video.

[@eyeorigins77]

@@crowsmathclass omg thank you so much 😭 I feel like my head is about explode. My professor give me a harder way to solve to it. Thank you so much 😭

[@RealKane]

How do you turn standard to general

[@crowsmathclass]

Just multiply standard form out.

[@jacobnothin1021]

Sir i have a question what should i do if i need to square a 9 unfortunately the half of 9 is 4.5 what should i do to get the square of 9?

[@crowsmathclass]

Jacob Mendiola I would write half of 9 as 9/2 instead 4.5. Then when u square it u will get 81/4.

[@jacobnothin1021]

Steve Crow Thank you sir, i just completed my homework, you are a life saver hahaha

[@mateenshyam4571]

Thanks for this! Saved me for my test tomorrow

[@crowsmathclass]

You’re welcome. Glad it helped. Good luck on your test.

[@jadeaep]

explained this better than my intro to college algebra professor😭

[@crowsmathclass]

Thank you.

[@mangorush4380]

Thanks it really help me a lot in my subject

[@crowsmathclass]

Glad it helped.

[@mangorush4380]

Please keep it up you really help many people like me having difficuties in math ..thanks again

[@juliamaggio4551]

Thanks so much! Really needed the help 😅

[@crowsmathclass]

You’re welcome. Glad it helped.

[@joemarkcastro7895]

what if you get a decimal no. from getting the half of y and square it?

[@crowsmathclass]

joemark castro Lets say u have to take half of 3. Instead of writing 1.5 I would write it as 3/2. Then squaring it would give u 9/4. Keep everything as fractions.

[@YukieGaming0]

How did you get the 16 in 1st example

[@crowsmathclass]

You take the number in front of x which is the 8 and divide it by 2. This gives you 4. You then take the 4 and square it which gives you 16.

[@salmapadilla8608]

GREAT EXPLANATION . easier than I thought! can you just be my math teacher? hahahah

[@crowsmathclass]

Thank you. Glad it helped.

[@ianampig5780]

What if the x and the y in the general form has a number? For example 2xsquare

[@crowsmathclass]

It would not be a circle. It would be an ellipse.

[@ianampig5780]

@@crowsmathclass okay thank you. But does that mean i will divide all the factors with 2? To cancel it out?

[@crowsmathclass]

No. You will divide by whatever is on the right side of the equal sign. Here is a link to a video I made. Graphing Ellipses Example 4 (Convert From General Form To Standard Form) kzbin.info/www/bejne/m5LLZ2qhlr1pfM0

[@bangtanwings4854]

Thank you so much! I was so confused with this.

[@crowsmathclass]

You’re welcome. Glad it helped.

[@ace-ch3wq]

the fraction part will definitely save me at our coming quiz🙇🏻‍♀️

[@crowsmathclass]

Good luck on your quiz

[@sarajouuyy00]

Thankyou pooo for sharing your knowledge about this yey!

[@idkwut4523]

imma pass the test now, thanks man

[@crowsmathclass]

You’re welcome. Good luck on your test.

[@daniellegallardo8669]

thank you so much, you just saved my life !!!

[@crowsmathclass]

You’re welcome. Glad it helped.

[@christiandenvhicv.boholst9248]

can i turn the fraction into decimal ?

[@crowsmathclass]

You can.

[@christiandenvhicv.boholst9248]

@@crowsmathclass thank you very much!!!!

[@crowsmathclass]

You’re welcome. But remember it is best to be able to do it both ways. With decimals and with fractions. Good luck.

[@Esophagus2]

Big Help.♥️ thank you sir♥️

[@crowsmathclass]

You’re welcome. Glad it helped.

[@hanahtaehyung]

thank u very much! ive had trouble w this topic

[@crowsmathclass]

You’re welcome.

[@nikolaifranz8009]

Thanks! You explained it very well, unlike my teacher >.>

[@crowsmathclass]

You are welcome. Glad it helped. Thanks for watching.

[@americasass3674]

waht if the x square and y square have a whole real number attached

[@crowsmathclass]

Then it wouldn’t be a circle. It would be an ellipse.

[@kylaangeles7458]

@@crowsmathclass how is it an ellipse? Can you explain?

[@crowsmathclass]

This video will explain. kzbin.info/www/bejne/m5LLZ2qhlr1pfM0

[@kearsten2871]

Thank you so much, this video helped a lot and I now realize where I was making my mistakes.

[@crowsmathclass]

You’re welcome. Glad it helped.

[@thealynejacinto]

Thank you so much! This is very helpful.

[@crowsmathclass]

You’re welcome.

[@edidi5717]

this helped a lot, thank you!

[@crowsmathclass]

You’re welcome.

[@ohhhhhh-f7w]

You sound like you're from the Sheldon Cooper family, trust me

[@crowsmathclass]

Ha.

[@jasminekumar3830]

What if there is no "Ey"?

[@crowsmathclass]

Then you would only complete the square on the x part. The y coordinate of the center would be zero.

[@joshuagayloa5244]

I love ur Voice😍

[@crowsmathclass]

Thank you.

[@leearasla5698]

Thanks for explaning well but you forgot the square in second example

[@crowsmathclass]

You’re welcome. Glad it helped. Thanks for pointing that out.

[@lofiisokiguess2142]

This helped so much thank you!

[@crowsmathclass]

You’re welcome. Glad it helped.

[@jeanalonzo2585]

can you answer this one? 4x²+4y²-4x+2y+1=0

[@jackmcdonald5474]

i love you this is excactly my questino yes plessss

[@jackmcdonald5474]

sorry for bad english i from repulica dominicana

[@lilmocorain3776]

ayo shoutout my nigga steve

[@crowsmathclass]

👍

[@warenjaluag1725]

It really helps me! TY

[@crowsmathclass]

You’re welcome. Glad it helped.

[@iliaskaddour9369]

Absolute lifesaver thanks a ton

[@crowsmathclass]

You’re welcome. Glad it helped.

[@juangabrielcuevas6700]

Thank you so much!

[@crowsmathclass]

You’re welcome.

[@juangabrielcuevas6700]

When I become the president of my country, I will remember you hehehe

[@user-vc3hx1pk2p]

Thank you so much sir!❤️

[@crowsmathclass]

You’re welcome.

[@shahdtarek8257]

Thank you very much, very useful.

[@crowsmathclass]

Thank you for the comment. Glad it helped.

[@marycinderellacasulla1790]

Thankss!!🙌🙌

[@crowsmathclass]

You’re welcome.

[@jeremiahspain2653]

In your second example, you had the standard form as (x x 3/2)^2 + (Y + 5/2) = 25/4. Should it not have been (Y + 5/2)^2 ? Or did I miss something?

[@crowsmathclass]

You are correct. My mind must have been wondering.

[@crowsmathclass]

Jeremiah Spain you r correct. My mind must have been wondering.

[@jeremiahspain2653]

Just wanted to be sure I was following correctly. Thankyou, great video, I am finally confident in doing this!

[@JedAmparado]

Thank you very much sir

[@crowsmathclass]

You’re welcome.

[@west8157]

FUCKIN' A MY DUDE! Why does my prof get paid 100k a year to explain shit a fraction as good as you

[@crowsmathclass]

Thanks. Glad the video helped.

[@sh4dyplays603]

Thank you ma hero!

[@crowsmathclass]

You're welcome. Glad it helped.

[@kendssuazo285]

Thank you!❤️

[@crowsmathclass]

You’re welcome.

[@AmericanMaestro]

Thank you Mr. Crow, very cool!

[@crowsmathclass]

You're welcome. Glad the video helped.

[@boy.interlinked]

(i got the reference)

[@astaraxia]

This still helps a lot

[@haegyumin]

Why do I imagine that he's Aizawa from MHA HAHAHA

[@madinao635]

HOW.

[@imptastic9019]

thanks a lot man!

[@crowsmathclass]

You’re welcome.

[@user-mx2vw9ep1w]

I get it now, confident for test but my dumb calculator only has decimals no fractions :(

[@crowsmathclass]

Good luck on your test.

[@homsiano9078]

thanks mr steve

[@crowsmathclass]

You’re welcome.

[@operatorerick1450]

God bless you

[@crowsmathclass]

Thank you. Glad it helped.

[@Erdbeeren_]

Thanks a lot.

[@crowsmathclass]

You’re welcome.

[@f_lopezkarizzaalexandrac.6537]

Thank youuu so much

[@crowsmathclass]

You’re welcome.

[@Hahahahshsjsjs.]

I just had to half the number the entire time

[@crowsmathclass]

👍

[@alexasaenz3061]

My teacher doesn’t know how to teach so thank you for teaching me this before my test🫶

[@crowsmathclass]

You’re welcome.

[@mynamejeff2217]

Very useful ty

[@crowsmathclass]

Thank you. Glad it helped.

[@zethversoza6629]

Fuck yes thank you

[@susanmaalindog5252]

thanks alot.

[@crowsmathclass]

You're welcome. Glad it helped.

[@itzzarafath826]

thank u veryyyyyyyyyyyyyyyyyyyyyyyyyyyyyy muchhhhhhhhhhhhhhhh

[@crowsmathclass]

You’re welcome.

[@cadedalexander]

I’m literally in geometry why are there so many precalc students here

[@crowsmathclass]

A review.

[@kayemoreno5096]

tysm💛💛

[@crowsmathclass]

You are welcome. Glad it helped.

[@irishsophia735]

YEY! Thanks a lot!

[@crowsmathclass]

You’re welcome. Glad it helped.

[@NellLiuNini]

Thank you

[@crowsmathclass]

You’re welcome.

[@asiancoyote157]

You my guy are the legend27

[@crowsmathclass]

Thank you. Glad it helped.

[@mirmirs2098]

THANKS

[@crowsmathclass]

You’re welcome.

[@karlkarl796]

Thankss.

[@crowsmathclass]

You are welcome. Glad it helped.

[@maryjaneamores9499]

THAAANKK YOUUUUU

[@crowsmathclass]

You’re welcome.

[@ruthsdp328]

thanks

[@crowsmathclass]

You’re welcome.

[@chunghatdog4154]

thank uu

[@crowsmathclass]

You’re welcome. Glad it helped.

[@jonah5908]

You skip too many steps without providing explanations

[@DetectiveLevi]

I may I may be stupid

[@lamarsmith4560]

who else using this to cheat?