Respuesta :
Answer:
The solutions of the equation x² + 4x + 4 = 25 are:
First option: x= 3 or x= -7
Step-by-step 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: x =3 and x =-7 is the answer
Step-by-step explanation:
[tex]x^{2} +4x+4 =25 \\(x+2)^{2} =25\\[/tex]
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
