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35 votes
35 votes
What is the solution to the equation? ^5/x + 7 = -2

User Kadir Erdem Demir
by
2.4k points

1 Answer

8 votes
8 votes

A)\text{ -39}

Step-by-step explanation


\sqrt[5]{x+7}\text{ = -2}

Step 1

both sides to the power of 5


\begin{gathered} \sqrt[5]{x+7}\text{ = -2} \\ (\sqrt[5]{x+7})^5=(-2)^5 \\ x+7=-32 \end{gathered}

Step 2

subtract 7 in both sides


\begin{gathered} x+7=-32 \\ x+7-7=-32-7 \\ x=-39 \end{gathered}

so, the answer is


A)\text{ -39}

I hope this helps you

User Josh Young
by
2.8k points