Question

Complete the square to rewrite x2 − 2x − 7 = 0 in the form (x − h)2 = c, where h and c are integer values.

Answer 1

(x-1)² = 8

Explanation:

Answer 2

`(x-1)^(2)=8`

Explanation:

we have

`x^(2) -2x-7=0`

Group terms that contain the same variable, and move the constant to the opposite side of the equation

`x^(2) -2x=7`

Complete the square. Remember to balance the equation by adding the same constants to each side

`x^(2) -2x+1=7+1`

`x^(2) -2x+1=8`

Rewrite as perfect squares

`(x-1)^(2)=8`

therefore

`h=1, c=8`