SOLUTION: Solve the quadratic {{{2(x-2)^2=22}}} equation by taking square roots. x= x=

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve the quadratic {{{2(x-2)^2=22}}} equation by taking square roots. x= x=      Log On


   

Question 1028894: Solve the quadratic 2%28x-2%29%5E2=22 equation by taking square roots.
x=
x=
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
start with:

2 * (x-2)^2 = 22

divide both sides of the equation by 2 to get (x-2)^2 = 11

take the square root of both sides of the equation to get x-2 = plus or minus sqrt(11).

add 2 to both sides of the equation to get x = 2 plus or minus sqrt(11)

you have two possible values for x.

x = 2 + sqrt(11)

x = 2 - sqrt(11)

replace x in the original equation with these values and you'll see that the equation is true.