SOLUTION: Solve (x-5)^2 = 6 My answer to this problem was: x={{{2sqrt(6+5)}}},x={{{-2sqrt(6+5)}}}. Is this correct? Thank you so much for your time and help.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve (x-5)^2 = 6 My answer to this problem was: x={{{2sqrt(6+5)}}},x={{{-2sqrt(6+5)}}}. Is this correct? Thank you so much for your time and help.       Log On


   

Question 75982: Solve (x-5)^2 = 6
My answer to this problem was: x=2sqrt%286%2B5%29,x=-2sqrt%286%2B5%29. Is this correct? Thank you so much for your time and help.
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
(x-5)^2 = 6
%28sqrt%28x-5%29%29%5E2+=+sqrt%286%29%29 [take the square root of both sides]
%28x-5%29+=+sqrt%286%29%29
%28x-5%2B5%29+=+5%2Bsqrt%286%29%29 [solve for x]
%28x%29+=+5%2Bsqrt%286%29%29
or
%28x%29+=+7.4495%29%29
.
Check by plugging x=7.4495 back into the original equation
%28x-5%29%5E2+=+%286%29%29
%287.4495-5%29%5E2+=+%286%29%29
(2.4495)^2=6
6.00=6 [checks out]