Question
Show how many solutions are in the solution set for the equation 3x^2 = 21
A. One
B. Zero
C. Two
D. Infinitely many
A. One
B. Zero
C. Two
D. Infinitely many
Answers
GPT-4o mini
To solve the equation \(3x^2 = 21\), we can start by dividing both sides of the equation by 3:
\[
x^2 = \frac{21}{3}
\]
\[
x^2 = 7
\]
Next, to find \(x\), we take the square root of both sides:
\[
x = \pm \sqrt{7}
\]
This means there are two solutions: \(x = \sqrt{7}\) and \(x = -\sqrt{7}\).
Thus, the solution set has **two solutions**.
The answer is **C. Two**.
\[
x^2 = \frac{21}{3}
\]
\[
x^2 = 7
\]
Next, to find \(x\), we take the square root of both sides:
\[
x = \pm \sqrt{7}
\]
This means there are two solutions: \(x = \sqrt{7}\) and \(x = -\sqrt{7}\).
Thus, the solution set has **two solutions**.
The answer is **C. Two**.