SOLUTION: Solve: (x-5)^2 = 7 Do I use the foil method on this? Thank you!

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Question 69893: Solve: (x-5)^2 = 7
Do I use the foil method on this? Thank you!

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
Good!! Yes and use the quadratic formula to completely solve the equation:
(x-5)^2 = 7
(x-5)(x-5)=7 [use FOIL to multiply]
%28x%5E2-10x%2B25%29=7 [set the equation equal to zero by subtracting "7" from both sides]
.
%28x%5E2-10x%2B25-7%29=0
%28x%5E2-10x%2B18%29=0 [simplify][plug-in the values into the quadratic formula]
x=7.646 and x=2.354
Check by plugging each value back into the original equation and solve