Solve the radical equation. v 2 - x = x

Question

Explain how you would simplify the radical expression 

Answer 1

I will assume that you mean √(2-x) = x

 

Square both sides to get 2-x = x²

 

                         So, x² + x - 2 = 0

 

                             (x+2)(x-1) = 0

 

                                  x = -2 or 1

 

-2 does not satisfy the given equation

 

The only solution is x = 1.