Question

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

Answer 1

Answer:

$(x+5)^{2} = 9$

Step-by-step explanation:

To complete the square you need to add $\frac{b}{2}^{2}$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