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What is the solution set for x in the equation below?

User SilverFire
by
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1 Answer

3 votes

Answer:

(-1, 0)

Step-by-step explanation:

Given the radical expression;


\sqrt[]{x+1}-1=x

Add 1 to both sides;


\begin{gathered} \sqrt[]{x+1}-1+1=x+1 \\ \sqrt[]{x+1}=x+1 \end{gathered}

Square both sides


\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}

Hence the solution to the radical expression is (-1, 0)

User Arleitiss
by
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