Solve the equation below by factoring. a 2 + 8 a + 25 = 9 a ^ { 2 } + 8 a + 25 = 9 a 2 + 8 a + 25 = 9 A) a = − 4 a = - 4 a = − 4 and a = 0 a = 0 a = 0 B) a = − 4 a = - 4 a = − 4 C) a = 0 a = 0 a = 0 and a = 4 a = 4 a = 4 D) a = − 4 a = - 4 a = − 4 and a = 4 a = 4 a = 4 E) a = 4 a = 4 a = 4

Question

Solve the equation below by factoring.   a 2 + 8 a + 25 = 9 a ^ { 2 } + 8 a + 25 = 9 a 2 + 8 a + 25 = 9 A)    a = − 4 a = - 4 a = − 4   and   a = 0 a = 0 a = 0 B)    a = − 4 a = - 4 a = − 4 C)    a = 0 a = 0 a = 0   and   a = 4 a = 4 a = 4 D)    a = − 4 a = - 4 a = − 4   and   a = 4 a = 4 a = 4 E)    a = 4 a = 4 a = 4

Valerie Valadez · Accepted Answer

Final Answer : B, Explanation :   First, we rewrite the equation as   a 2 + 8 a + 16 = 0 a^2 + 8a + 16 = 0 a 2 + 8 a + 16 = 0   by subtracting 9 from both sides to get   a 2 + 8 a + 16 = 0 a^2 + 8a + 16 = 0 a 2 + 8 a + 16 = 0  . This can be factored into   ( a + 4 ) 2 = 0 (a + 4)^2 = 0 ( a + 4 ) 2 = 0  , which implies   a + 4 = 0 a + 4 = 0 a + 4 = 0  , so   a = − 4 a = -4 a = − 4  .

Solve the equation below by factoring. $a ^ { 2 } + 8 a + 25 = 9$

A) $a = - 4$ and $a = 0$
B) $a = - 4$
C) $a = 0$ and $a = 4$
D) $a = - 4$ and $a = 4$
E) $a = 4$

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Solve the equation below by factoring. a2+8a+25=9a ^ { 2 } + 8 a + 25 = 9a2+8a+25=9 A) a=−4a = - 4a=−4 and a=0a = 0a=0 B) a=−4a = - 4a=−4 C) a=0a = 0a=0 and a=4a = 4a=4 D) a=−4a = - 4a=−4 and a=4a = 4a=4 E) a=4a = 4a=4

Definitions

Learning Objectives

Learning Objectives

Related questions

Solve the equation below by factoring. $a ^ { 2 } + 8 a + 25 = 9$

A) $a = - 4$ and $a = 0$
B) $a = - 4$
C) $a = 0$ and $a = 4$
D) $a = - 4$ and $a = 4$
E) $a = 4$