Show how many solutions are in the solution set for the equation 3x2=21

Question

.(1 point)
Responses

two
two

zero
zero

one
one

infinitely many

Answer 1

To solve the equation \(3x^2 = 21\), we start by dividing both sides by 3:

\[ x^2 = \frac{21}{3} = 7 \]

Next, we take the square root of both sides:

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

This gives us two solutions: \(\sqrt{7}\) and \(-\sqrt{7}\).

Thus, there are two solutions in the solution set for the equation \(3x^2 = 21\).

So the response is:

two