4√(x+1)=x-1 Solve with steps

Question

4
`√(x+1)=x-1`
Solve with steps

Answer 1

`~~~~√(x +1) = x -1\\\\\implies \left( √(x+1) \right)^2 = (x-1)^2\\\\\implies x +1 = x^2 -2x +1\\\\\implies x^2 -2x +1 -x-1=0\\\\\implies x^2 -3x = 0\\\\\implies x(x-3) =0\\\\\implies x =0,~ x =3\\\\x = 0~ \text{doesn't satisfy the original equation.}\\\\\text{Hence,} ~x= 3`