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

Question

.(1 point)
Responses

zero
zero

infinitely many
infinitely many

two
two

one

Answer 1

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

\[ x^2 = 7 \]

Now we take the square root of both sides:

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

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

Therefore, the number of solutions in the solution set for the equation \(3x^2 = 21\) is two.