Verified answer

Complete the square: x² - 10x + 25 = -y² - 4y + 7 + 25

Factor: (x - 5)² + y² + 4y = 36

Complete the Square again: (x - 5)² + y² + 4y + 4 = 36

Factor: (x - 5)² + (y + 2)² = 36

Radius: 6

Center: (5,-2)

we have to complete the square... x^2-10x ... divide 10 by 2 = 5 add and subtract the square 25

Then it is x^2 -10x +25 - 25 = (x-5)^2 -25

Now complete the square fo y^2 + 4y... divide 4 by 2 = 2 add and subtract the square 4

Then it is y^2 + 4y +4 -4 = (y+2)^2 -4

Then the equation is (x-5)^2 -25 + (y+2)^2 - 4 - 7 = 0 ==> (x-5)^2 +(y+2)^2 = 36 =6^2

The the center is (5,-2) and the radius is 6 Ok!

First, group the xs and ys together and add 7 to each side:

x^2 - 10x + y^2 + 4y = 7

Complete the square for x and y:

X^2 - 10x + 25 + y^2 + 4y + 4 = 36

Turn them into square binomials to finish the problem:

(x - 5)^2 + (y + 2)^2 = 36

There ya go.

Miss Kristin

x²+y²-10x+4y-7=0

complete the square for both x and y

x² - 10x = (x -5)² -5² and y² +4y = (x +2)² -2²

(x² -10x + 25) +(y² +4y +4) - 29 -7 =0

(x -5)² +(y +2)² = r² = 36

so (-5,2) is the center and r =6