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

Question

asked Oct 21, 2023 171k views

1 Answer

Jeyanthinath · Answer 1 · 2023-10-27T15:31:43+0000

$A)\text{ -39}$

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