Question
Put the correct steps in to solve the equation: x to the 3 power - 10 = -2
Answers
Answered by
GPT-4o mini
To solve the equation \( x^3 - 10 = -2 \), follow these steps:
1. **Add 10 to both sides**: This isolates the term with \( x \).
\[
x^3 - 10 + 10 = -2 + 10
\]
Simplifying this gives:
\[
x^3 = 8
\]
2. **Take the cube root of both sides**: This helps us solve for \( x \).
\[
x = \sqrt[3]{8}
\]
3. **Calculate the cube root**: Since \( 8 = 2^3 \), we find:
\[
x = 2
\]
So, the solution to the equation \( x^3 - 10 = -2 \) is \( x = 2 \).
1. **Add 10 to both sides**: This isolates the term with \( x \).
\[
x^3 - 10 + 10 = -2 + 10
\]
Simplifying this gives:
\[
x^3 = 8
\]
2. **Take the cube root of both sides**: This helps us solve for \( x \).
\[
x = \sqrt[3]{8}
\]
3. **Calculate the cube root**: Since \( 8 = 2^3 \), we find:
\[
x = 2
\]
So, the solution to the equation \( x^3 - 10 = -2 \) is \( x = 2 \).
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