Question

x^2-2x=√(2x^2-4x+3)
solve for x

Answer 1

Answer:

To answer your specific question: yes, squaring introduces additional "sol.utions" which you do not want. So you have to check at the end.

Squaring gives (x2−2x)2−2(x2−2x)−3=0 or

(x2−2x−3)(x2−2x+1)=0

so x=1,−1 or 3.

But checking we find that x=1 is not a solution to the original equation.