Thread: Completing the Square

Can someone please show me exactly how to copmlete the quare for this problem. The *** will help you find what part.

Thanks

the goal is to get the equation in the following form ...



where (h,k) are the center coordinates and r is the radius.




start by dividing every term by 4 ...



group the x-vales and y-values together, move the constant ...



***you now want to complete the square for both x and y ... half the coefficient of each linear term, square the result, and add to both sides of the equation ...



factor the quadratic trinomials of x and y ...



now, do you "see" h, k, and r?

Originally Posted by Atav20

Can someone please show me exactly how to copmlete the quare for this problem. The *** will help you find what part.

Thanks

the goal is to get the equation in the following form ...



where (h,k) are the center coordinates and r is the radius.




start by dividing every term by 4 ...



group the x-vales and y-values together, move the constant ...



***you now want to complete the square for both x and y ... half the coefficient of each linear term, square the result, and add to both sides of the equation ...



factor the quadratic trinomials of x and y ...



now, do you "see" h, k, and r?

um, yes, i can see them. *points* they're right there. h = -4, k = 4 and r = 3

good job on completing the square, by the way

(you have a typo in the second to last line. it should be -8y not -8x