Question

What is the solution of RootIndex 3 StartRoot x + 8 EndRoot = negative 4?

x = –72
x = –66
x = 58
no solution

Answer 1

x = -72

Explanation:

Answer 2

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.