Answer:
(-1, 0)
Explanation:
Given the radical expression;
[tex]\sqrt[]{x+1}-1=x[/tex]Add 1 to both sides;
[tex]\begin{gathered} \sqrt[]{x+1}-1+1=x+1 \\ \sqrt[]{x+1}=x+1 \end{gathered}[/tex]Square both sides
[tex]\begin{gathered} (\sqrt[]{x+1})^2=(x+1)^2 \\ x+1=(x+1)^2 \\ 1=x+1 \\ Swap \\ x+1=0 \\ x=0-1 \\ x=-1 \end{gathered}[/tex]Hence the solution to the radical expression is (-1, 0)