olve. Check for extraneous solutions.
-$\sqrt[3]{\mathrm{x}+6}=5$
A) $\{-1\}$
B) $\{119\}$
C) $\{19\}$
D) $\{125\}$

Name: olve. Check for extraneous solutions. -$\sqrt[3]{\mathrm{x}+6}=5$ A) $\{-1\}$ B) $\{119\}$ C) $\{19\}$ D) $\{125\}$
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Question

Quizplus · Accepted Answer

To solve the equation $\sqrt[3]{x+6}=5$, we cube both sides to eliminate the cube root, resulting in $x + 6 = 125$. Solving for $x$ gives $x = 119$. There are no extraneous solutions because cubing both sides is a valid operation that does not introduce any.

Olve Check for Extraneous Solutions x+63=5\sqrt[3]{\mathrm{x}+6}=53x+6​=5 A) {−1}\{-1\}{−1} B) {119}\{119\}{119} C) {19}\{19\}{19} D) {125}\{125\}{125}

Olve Check for Extraneous Solutions $\sqrt[3]{\mathrm{x}+6}=5$ A) $\{-1\}$ B) $\{119\}$ C) $\{19\}$ D) $\{125\}$