Number of real roots of the equation x+x−(1−x)=1 is

We have,x+x−(1−x)=1⇒x−1−x=1−xOn squaring both sides, we get  x−1−x=1+x−2x⇒ −1−x=1−2xAgain, squaring on both sides, we get1−x=1+4x−4x4x=5x⇒x=45 [on squaring both sides]⇒x=1625Hence, the number of real solutions is 1.