Question
Question 1
Correctly select the order of the steps to solve this equation.
r5−6=−1
Correctly select the order of the steps to solve this equation.
r5−6=−1
Answers
GPT-4o mini
To solve the equation \( r^5 - 6 = -1 \), follow these steps in order:
1. **Add 6 to both sides** to isolate the term with the variable:
\[
r^5 - 6 + 6 = -1 + 6
\]
This simplifies to:
\[
r^5 = 5
\]
2. **Take the fifth root** of both sides to solve for \( r \):
\[
r = \sqrt[5]{5}
\]
So, the order of the steps is:
1. Add 6 to both sides.
2. Take the fifth root of both sides.
1. **Add 6 to both sides** to isolate the term with the variable:
\[
r^5 - 6 + 6 = -1 + 6
\]
This simplifies to:
\[
r^5 = 5
\]
2. **Take the fifth root** of both sides to solve for \( r \):
\[
r = \sqrt[5]{5}
\]
So, the order of the steps is:
1. Add 6 to both sides.
2. Take the fifth root of both sides.