Question

Solve for x.
x² + 4x + 4 = 8
(choices in photo)

Answer 1

Answer:
x = -2 ± 2√2

Step-by-step explanation:
To answer this question, we will first need to put the equation in the standard form: ax² + bx + c = 0

This can be done as follows:
x² + 4x + 4 - 8 = 0
x² + 4x - 4 = 0

Comparing the equation we reached with the general form, we would find that:
a = 1
b = 4
c = -4

Now, to get the solution of the equation, we will use the quadratic formula shown in the attached image

Substituting in the equation with the values of a, b and c, we can get the two roots as follows:
x =
`(-4 +/- √((4)^2 - 4(1)(-4)) )/(2(1))`

x = -2 ± 2√2


Hope this helps :)