What are the solutions of the equation x2 + 4x + 4 = 25

x = - 7, 3

Step-by-step explanation:

x^2 + 4x + 4 = 25

I will use completing the square. The left side is a perfect square

(x+2) ^2 = 25

Take the square root of each side

sqrt ((x+2) ^2) = sqrt (25)

x+2 = ±5

Subtract 2 from each side

x+2-2 = ±5 - 2

x = ±5 - 2

x = -5-2 x = 5-2

x = - 7 x = 3