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

a

step-by-step explanation:

jjddbdhid r

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!