Question
Solve for f.
f2ā31f=0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
f=
f2ā31f=0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
f=
Answers
GPT-4o mini
To solve the equation \( f^2 - 31f = 0 \), we can factor the left-hand side:
\[
f(f - 31) = 0
\]
This gives us two potential solutions:
1. \( f = 0 \)
2. \( f - 31 = 0 \) which simplifies to \( f = 31 \)
Thus, the solutions are:
\[
f = 0, 31
\]
So, the final answer is:
\[
f = 0, 31
\]
\[
f(f - 31) = 0
\]
This gives us two potential solutions:
1. \( f = 0 \)
2. \( f - 31 = 0 \) which simplifies to \( f = 31 \)
Thus, the solutions are:
\[
f = 0, 31
\]
So, the final answer is:
\[
f = 0, 31
\]