Question

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

x= 3 or x= -7
x=-3 or x= -7
x= 1 or x=9
x= 1 or x=-9

Answer 1

The solutions of the equation x² + 4x + 4 = 25 are:

First option: x= 3 or x= -7

Explanation:

x² + 4x + 4 = 25

Equaling to zero: Subtracting 25 both sides of the equation:

x² + 4x + 4 -25= 25-25

Simplifying:

x² + 4x -21 =0

Factoring:

(x+7)(x-3)=0

Two solutions:

1.) x+7=0

Solving for x: Subtracting 7 both sides of the equation:

x+7-7=0-7→x=-7

2.) x-3=0

Solving for x: Adding 3 both sides of the equation:

x-3+3=0+3→x=3

The solutions are: x=3 or x=-7

Answer 2

Answer: x =3 and x =-7 is the answer

Explanation:

`x^(2) +4x+4 =25 \\(x+2)^(2) =25\\`

taking square root both sides,we get

(x+2) = ± 5

taking positive ,we get

x+2 =5 or x=3

taking negative both sides

x+2=-5

x= -5 -2

x =-7