Question

Square both sides of this: √2-x = x

Answer 1

`2 - x = x^2`

Explanation:

Assuming the form is:

`√(2 - x) = x \\(√(2-x))^2 = (x)^2\\2 - x = x^2\\`

Further solving:

`0 = x^2 +x - 2\\0 = (x+2)(x-1)\\x = -2, 1\\x = 1`

x is only 1 because of the domain of the original equaiton.