SOLUTION: (x-2)^2=28

Algebra ->  Polygons -> SOLUTION: (x-2)^2=28      Log On


   

Question 216256: (x-2)^2=28
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
(x-2)^2=28
x^2+4=28
x^2=24
x=4.89

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
(x-2)^2=28

(x - 2)(x - 2) = 28 ------- breaking down %28x+-+2%29%5E2

x%5E2+-+4x+%2B+4+=+28 ------- Expanding left side of equation

x%5E2+-+4x+%2B+4+-+28+=+0 ----- subtracting 28 from both sides of equation

x%5E2+-+4x+-+24+=+0
Using the quadratic equation,x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+, we get:

x = 7.291502622, or -3.291502622

OR

%28x-2%29%5E2+=+28

%28sqrt%28x+-+2%29%29%5E2+=+sqrt%2828%29

x - 2 = +/- 5.291502622

x = 5.291502622 + 2 = highlight_green%287.291502622%29 or x = - 5.291502622 + 2 = highlight_green%28-3.291502622%29