Question

Which of the following are solutions to the equation below?

x²+8x+16=2

A. x=−2,−4

B. x=4

C. x=1

D. x=2,−4

Answer 1

The solutions to the equation x²+8x+16=2 are x=-7 and x=-2.

Step-by-step explanation:

To solve the equation x²+8x+16=2, we first rearrange it to create a quadratic equation set equal to zero: x²+8x+14=0. Next, we can solve this quadratic equation by factoring or using the quadratic formula. In this case, the equation factors as (x+7)(x+2)=0. This means that the solutions to the equation are x=-7 and x=-2.