SOLUTION: Use square roots or factoring to solve the equation. 1/3(x+2)^2= 3/4

Question 155543: Use square roots or factoring to solve the equation.
1/3(x+2)^2= 3/4
Found 2 solutions by Alan3354, checkley77:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1/3(x+2)^2= 3/4
---------------
Multiply by 3
(x+2)^2 = 9/4
Take sqrt of both sides
x+2 = +3/2 or -3/2
x = -1/2
x = -7/2

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
1/3(x+2)^2= 3/4
(x^2+4x+4)/3=3/4 cross multiply
4(x^2+4x+4)=3*3
4x^2+16x+16=9
4x^2+16x+16-9=0
4x^2+16x+7=0
(2x+7)(2x+1)=0
2x+7=0
2x=-7
x=-7/2
x=-3.5 Answer.
2x+1=0
2x=-1
x=-1/2
x=-.5 Answer.

RELATED QUESTIONS
Use square roots or factoring to solve each equation.... (answered by checkley77)
Can anyone help me with ANY of these? Please... 1. Solve for the roots by factoring. (answered by solver91311)
Solve each equation by factoring or taking square roots. 1.) x^2 - 7x = 0 2.) x^2 + (answered by EMStelley,stanbon)
PLEASE HELP MY HOMEWORK IS DUE TOMORROW MORNING! 1) Find the equation of the line... (answered by ikleyn)
use factoring to solve the quadratic equation x(x-2)^3... (answered by mananth,lwsshak3)
use factoring to solve the quadratic equation x(x-2)^3 - 35(x-2)^2... (answered by mananth)
use factoring to solve the quadratic equation x(x-2)^3 - 35(x-2)^2... (answered by solver91311)
use factoring to solve the quadratic equation x(x-2)^3 - 35(x-2)^2... (answered by Earlsdon)
use factoring to solve the quadratic equation... (answered by lwsshak3)