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Mathematics 14 Online
OpenStudy (anonymous):

x^2+y^2-10x=0

OpenStudy (anonymous):

is there a question?

OpenStudy (anonymous):

what is the center, what is the radius of the circle right?

OpenStudy (anonymous):

Yes, sorry I'm new. I can't seem to put this in standard form to get a center and radius.

OpenStudy (anonymous):

\[x^2+y^2-10x=0\] \[x^2-10x+y^2=0\] now we complete the square for the \(x\) part

OpenStudy (anonymous):

what is half of 10?

OpenStudy (anonymous):

5, then what do you do for y?

OpenStudy (anonymous):

nothing

OpenStudy (anonymous):

\(y^2\) is already a perfect square maybe that is what is throwing you off

OpenStudy (anonymous):

\[x^2-10x+y^2=0\\ (x-5)^2+y^2=25\]

OpenStudy (anonymous):

clear where the \(25\) came from?

OpenStudy (anonymous):

Yes thank you. now how do you write the center if y^2 is perfect? I understand the radius now

OpenStudy (anonymous):

\[(x-h)^2+(y-k)^2=r^2\] and you have \[(x-5)^2+y^2=5^5\]

OpenStudy (anonymous):

would it help if you wrote it as \[(x-5)^2+(y-0)^2=5^2\]?

OpenStudy (anonymous):

So you just put a zero? I get it now! thank you so much

OpenStudy (anonymous):

don't let your teacher see it, he or she will think you are a moron, because one write \(y-0\) but now it is clear that the center is \((5,0)\) and the radius is \(5\) right?

OpenStudy (anonymous):

yw

OpenStudy (anonymous):

@satellite73 is correct-a-mundo

OpenStudy (anonymous):

yeah it was def a brain fart....

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