Question

Show how many solutions are in the solution set for the equation 3x2=21
.(1 point)
Responses

infinitely many
infinitely many

one
one

zero
zero

two

Answer 1

To determine how many solutions there are to the equation \(3x^2 = 21\), we can follow these steps:

1. Divide both sides of the equation by 3:

\[
x^2 = \frac{21}{3}
\]

\[
x^2 = 7
\]

2. Now, take the square root of both sides:

\[
x = \pm \sqrt{7}
\]

This indicates that there are two solutions: \(x = \sqrt{7}\) and \(x = -\sqrt{7}\).

Therefore, the correct answer is:

**two**