The number of solutions ofx+1−x−1=1 (x∈R)is

For the equation to make sense we must havex+1≥0 and x−1≥0⇒x≥−1,x≥1 .i.e.x≥1We rewrite equation asx+1=1+x−1and square both the sides to obtainx+1=1+x−1+2x−1⇒ 12=x−1⇒14=x−1 or  x=54Also, x = 5/4 satisfies the given equation.