Question

solve ( x^3 = -20 ), where ( x ) is a real number. simplify your answer as much as possible.
if there is more than one solution, separate them with commas.
if there is no solution, click
o solution.\

Explanation:

Step1: Apply cube root to both sides

To solve \( x^3 = -20 \) for \( x \), we take the cube root of both sides. The cube root of a number \( a \) is a number \( b \) such that \( b^3 = a \). So, taking the cube root of both sides of the equation \( x^3 = -20 \), we get \( x=\sqrt[3]{-20} \).

Step2: Simplify the cube root

We know that \( \sqrt[3]{-a}=-\sqrt[3]{a} \) for any real number \( a \). So, \( \sqrt[3]{-20}=-\sqrt[3]{20} \).

Answer:

\( -\sqrt[3]{20} \)