Question

Complete the square so that the left side of x2 + 8x − 3 = 0 becomes a binomial squared.

(x+_____)^2=_____

Answer 1

(x+4)^2=19

Explanation:

Answer 2

`(x+4)^(2)=19`

Explanation:

we have

`x^(2) +8x-3=0`

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

`x^(2) +8x=3`

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

`(x^(2) +8x+16)=3+16`

`(x^(2) +8x+16)=19`

Rewrite as perfect squares

`(x+4)^(2)=19`