What is the solution of RootIndex 3 StartRoot x + 8 EndRoot = negative 4? x = –72 x = –66 x = 58 no solution

Question

asked Dec 4, 2020 225k views

2 Answers

Isaura · Answer 1 · 2020-12-11T12:22:51+0000

Answer: First option.

Explanation:

Given the following equation provided in the exercise:

$\sqrt[3]{x+8}=-4$

You can follow the steps indicated below in order to find the solution of this equation:

1. Cubing both sides of the equation, you get:

$(\sqrt[3]{x+8})^3=(-4)^3\\\\x+8=-64$

2. Finally you must subtract 8 from both sides of the equation:

$x+8-8=-64-8\\\\x=-72$

You can notice that this solution matches with the first option.