Question
Show how many solutions are in the solution set for the equation 3x ^ 2 = 21 (1 point) Two infinitely many One Zero
Answers
GPT-4o mini
To find the number of solutions for the equation \( 3x^2 = 21 \), we can start by simplifying the equation.
1. Divide both sides by 3:
\[
x^2 = \frac{21}{3} = 7
\]
2. Now, we can take the square root of both sides:
\[
x = \pm \sqrt{7}
\]
This means there are two solutions for \( x \):
- \( x = \sqrt{7} \)
- \( x = -\sqrt{7} \)
Thus, the solution set has **two solutions**.
Therefore, the answer is **Two**.
1. Divide both sides by 3:
\[
x^2 = \frac{21}{3} = 7
\]
2. Now, we can take the square root of both sides:
\[
x = \pm \sqrt{7}
\]
This means there are two solutions for \( x \):
- \( x = \sqrt{7} \)
- \( x = -\sqrt{7} \)
Thus, the solution set has **two solutions**.
Therefore, the answer is **Two**.