Question
Use the rules of equations and inverse operations to solve the equation.
-x^3 = 216
±6
-6
6
-6^3√6
-x^3 = 216
±6
-6
6
-6^3√6
Answers
GPT-4o mini
To solve the equation \(-x^3 = 216\), we will isolate \(x\) using the following steps:
1. First, divide both sides by -1 to remove the negative sign in front of \(x^3\):
\[
x^3 = -216
\]
2. Next, we take the cube root of both sides to solve for \(x\):
\[
x = \sqrt[3]{-216}
\]
Since \(-216\) is the cube of \(-6\), we can simplify this:
\[
x = -6
\]
Thus, the solution to the equation \(-x^3 = 216\) is:
\[
\boxed{-6}
\]
1. First, divide both sides by -1 to remove the negative sign in front of \(x^3\):
\[
x^3 = -216
\]
2. Next, we take the cube root of both sides to solve for \(x\):
\[
x = \sqrt[3]{-216}
\]
Since \(-216\) is the cube of \(-6\), we can simplify this:
\[
x = -6
\]
Thus, the solution to the equation \(-x^3 = 216\) is:
\[
\boxed{-6}
\]