Question

HELP...... rewrite the equation by completing the square.
x ^2 +10x+16=0

Answer 1

`(x+5)^(2) = 9`

Explanation:

To complete the square you need to add
`(b)/(2)^(2)`to both sides. (Parenthesis around b/2)

b = 10

b/2 = 5

(b/2)^2 = 25

`x^(2)` +10x + 16 = 0

subtract 16 to both sides

`x^(2)` + 10x = -16

add 25 to both sides

`x^(2)` +10x + 25 = 9

Perfect Square Trinomial Factoring

`(x+5)^(2)` = 9