Homework Help: math

Posted by Kenneth on Sunday, January 29, 2012 at 8:59am.

Q: Convert 4x^2 + 4y^2 -8x -16y -29 = 0 into standard form.

I first started by pairing the like terms together, getting:
4x^2 -8x + 4y^2 -16y = 29

The next step, I'm a little confused. I know I need to complete the square, but I'm not sure how to fully factor out the above equation before doing so. Can someone help me getting the factored form of the above equation?

Thanks!

math - Reiny, Sunday, January 29, 2012 at 9:13am
4x^2 -8x + 4y^2 -16y = 29
4(x^2 - 2x + ...) + 4(y^2 - 4y + ... ) = 29
4(x^2 - 2x + 1) + 4(y^2 - 4y + 4) = 29 + 4 + 16
4(x-1)^2 + 4(y-2)^2 = 49
divide by 4
(x-1)^2 + (y-2)^2 = 49/4

looks like a circle with centre at (1,2) and radius 7/2

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