SOLUTION: I need to figure out the steps to solving (1/square root of 2-x)+( square root of 2-x)=2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need to figure out the steps to solving (1/square root of 2-x)+( square root of 2-x)=2      Log On


   



Question 913823: I need to figure out the steps to solving (1/square root of 2-x)+( square root of 2-x)=2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply both sides by sqrt%282-x%29
1%2Fsqrt%282-x%29%2Bsqrt%282-x%29=2
1%2B%282-x%29=2%28sqrt%282-x%29%29
3-x=2%28sqrt%282-x%29%29
Square both sides.
%283-x%29%5E2=4%282-x%29
9-6x%2Bx%5E2=8-4x
x%5E2-2x%2B1=0
%28x-1%29%5E2=0
x-1=0
x=1