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


HELP Rewrite The Equation By Completing The Square X 2 10x160 class=

Sagot :

Answer:

[tex](x+5)^{2} = 9[/tex]

Step-by-step explanation:

To complete the square you need to add [tex]\frac{b}{2}^{2}[/tex]to both sides. (Parenthesis around b/2)

b = 10

b/2 = 5

(b/2)^2 = 25

[tex]x^{2}[/tex] +10x + 16 = 0

subtract 16 to both sides

[tex]x^{2}[/tex] + 10x = -16

add 25 to both sides

[tex]x^{2}[/tex] +10x + 25 = 9

Perfect Square Trinomial Factoring

[tex](x+5)^{2}[/tex] = 9