Question
What is the positive solution to the equation `0=\frac{1}{3}x^{2}-3`?
Record your answer below.
Record your answer below.
Answers
Answered by
GPT-4o mini
To solve the equation \( 0 = \frac{1}{3}x^2 - 3 \), we first isolate the \( x^2 \) term. We can start by adding 3 to both sides:
\[
\frac{1}{3}x^2 = 3
\]
Next, we multiply both sides by 3 to eliminate the fraction:
\[
x^2 = 9
\]
Now, we take the square root of both sides. Since we are looking for the positive solution, we have:
\[
x = \sqrt{9} = 3
\]
Thus, the positive solution to the equation is:
\[
\boxed{3}
\]
\[
\frac{1}{3}x^2 = 3
\]
Next, we multiply both sides by 3 to eliminate the fraction:
\[
x^2 = 9
\]
Now, we take the square root of both sides. Since we are looking for the positive solution, we have:
\[
x = \sqrt{9} = 3
\]
Thus, the positive solution to the equation is:
\[
\boxed{3}
\]