Find the equation of a circle in standard form given three points

[@misheeerfe9439]

thank you so much, I've been struggling for hours and luckily I saw your video.

[@kusumar.saptawara3749]

I am of the opinion that using general form of a circle x^2+y^2+Ax+By+C=0 is better and faster : Passing through point (3,3) to be 9+9+3A+3B+C=0 or 3A+3B+C+18=0 ... (1) Point (7,1) is getting 49+1+7A+B+C=0 or 7A+B+C+50=0 ...(2) Point (0,2) is getting 0+4+2B+C=0 or 2B+C+4=0 ...(3) Substract (1) by (2) we get -4A+2B-32=0 or if divided by 2 for all sides we get -2A+B-16=0 ... (4) Substract (1) by (3) we get 3A+B+14=0 ... (5) Substract (4) by (5) we get -5A-30=0 or A=-6 ,.. (6) Substitute (6) to (5) we get -18+B+14=0 or B=4 ... (7) Substitute (7) to (3) we get 8+C+4=0 or C=-12 ... (8) Substitute (6), (7), and (8) to general form we get : x^2+y^2-6x+4y-12=0 x^2-6x+9+y^2+4y+4=12+9+4 (x-3)^2+(y+2)^2=25 is a circle with center (3,-2) and radius r=5

[@emmanuelescol]

great!

[@AltSpecterr]

my head go BOOOOOOOOMMMMMMMMM

[@weknee9194]

Subtracting eq 1 and eq 3 why 3A? Instead of 2A? Edit : nvm It was 0A that's why im having trouble solving it TYSM MAN

[@haydengaming760]

Thank you poo i finally get it kailangan pala as soon as possible i lolowest term sya sa common denominator

[@mosesjere4279]

This method is brilliant thanks so much

[@__mvelenhlemncube9.]

Thanks a lot👍

[@phirielliot1698]

Thank you so much sir for making me understand this.....u are a good teacher

[@kennethinoaquino7023]

what a good video students should know easier way to find the equation of circle without using the perpendicular bisector theorem

[@shemgadot3391]

NAYSKA SIR ASSIGNMENT NI NAMOSSS PRECAL AHHAHAHA COMMENDED

[@jovedxanderformoso4176]

Kamusta naka karun??

[@abdulmejidmohamed472]

thank you sir this helpfull

[@celina4244]

could you subtract eq 2 from 1 and then eq 1 from 3? does the order matter?

[@emmanuelescol]

order does not matter

[@kentbretania7527]

What kind of solution did you use?

[@jhulianvonabarquezorcajada606]

11 mins to solve 1 problem seems like a long time

[@DavidGitonga-fe4el]

❤

[@zagi0207]

I suppose this is for your students, Mr. Escol, as you're not doing any explanations, e.g. I haven't come across the formula you're using before - what can you say about it?

[@emmanuelescol]

Yes. I think this a video requirement of my professor.

[@zagi0207]

@@emmanuelescol Could you please tell me something about the formula/ the method used?

[@vincentgrey7495]

How does -1+4 come???

[@franciskentnunez5806]

How didd you get -1 + 4

[@leeslectures5649]

thanks a lot

[@emmanuelescol]

Welcome!

[@juleslaynolazo7120]

Pano po naging 5k/2?

[@chibernsvillarizavillariza1686]

Sir constant nanang mag multiply both sides ug -1/2 and 2/5?

[@emmanuelescol]

no. we are only simplifying equations and isolating the variable.

[@livtorres3473]

sir paano malalaman kapag imumultiply na ng 1/2 at 2/5??

[@johnthailerojastro3691]

Sir what is the answer for this -18h-6k+120=0 I already subtract Eq. 1 and 2 that’s my answer, Can you help me sir?

[@wut2809]

Pwede po bang iequate na lang po yung equations sa isa't-isa since parehas naman po silang equal to r²? Parang magiging h²+k²-14h-2k+50=h²+k²-4k+4

[@emmanuelescol]

yeah

[@darylfabian9510]

yes this is possible

[@aerasaura]

Si Samantha ni sir sa Grade 7 - Venus ( tung gi toungue twister akong name hehe )

[@jeevanprasai6436]

How does (-1/2) come

[@emmanuelescol]

to simplify the equation. Note that 2 is common to each of the terms, and the first term starts with a negative sign. To simplify, multiply both sides by -1/2 .

[@emmanuelescol]

@Jo Han usually if the first term starts with a negative coefficient.

[@AM-vt7hw]

Gulat ako sa comments HAHAHAHAHHA

[@MjCarnaje-jd5ut]

TAASA HAHAHA

[@jm-tn7gl]

UNSAAA DAWWW

[@ronskie9324]

Sir kapag po negative yung nasa unahan imumultiply po sa -1/2 para maging positive?

[@primordial8510]

Sir si batman ko sir from 7 Venus

[@emmanuelescol]

haahhaha welcome batman!

[@willvaine3458]

Sir bat 5 ? Pano nanging 5 yung sa malapit sa last part ? 7 tas naging 5 ? How :(

[@emmanuelescol]

(7k/2) - k + 28 - 23 = (7k/2) - (2k/2) + 5 = (7k - 2k)/2 + 5 = 5k/2 + 5

[@sebastiankhalir9003]

from -k naging -2k/2 pano yun sirr :

[@emmanuelescol]

renaming k so that the denominator will be the same with 7k/2 and you can easily add fractions.

[@cherrypellogo1102]

@@emmanuelescol hi po, sir! Ask ko lang po, depende po ba sa equation dapat kung ano yung ilagay mo na specific na no.? Halimbawa po dito, may 2k/2

[@edit_vk_Rajput-lt2gd]

Math

[@jeanatienza1247]

Bakit po minultiply sa - 1/2

[@emmanuelescol]

to simplify . the numerical coefficients are divisible by 2 and to make the first term positive.

[@vincentsaldo3496]

Subtracting eq 2 and 3 is wrong