AIR MATH

Math Question

Ahmed is solving the following equation for \( x \).
\[
2 \sqrt[3]{x-7}+11=3
\]
His first few steps are given below.
\[
\begin{array}{c}
2 \sqrt[3]{x-7}=-8 \\
\sqrt[3]{x-7}=-4 \\
(\sqrt[3]{x-7})^{3}=(-4)^{3} \\
x-7=-64
\end{array}
\]
Is it necessary for Ahmed to check his answers for extraneous solutions?

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