Question

Show how many solutions are in the solution set for the equation 3x^2=21
.(1 point)
Responses

two
two

infinitely many
infinitely many

one
one

zero

Answer 1

To solve the equation \( 3x^2 = 21 \), we can start by isolating the \( x^2 \) term:

1. Divide both sides by 3:
\[
x^2 = \frac{21}{3}
\]
\[
x^2 = 7
\]

2. Now, take the square root of both sides:
\[
x = \pm \sqrt{7}
\]

This gives us two solutions:
- \( x = \sqrt{7} \)
- \( x = -\sqrt{7} \)

Since there are two distinct solutions, the answer to the question is:

**two**