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

Question

.(1 point)
Responses

one
one

infinitely many
infinitely many

two
two

zero
zero

Answer 1

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

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

Now, we take the square root of both sides:

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

This gives us two solutions:

\[ x = \sqrt{7} \quad \text{and} \quad x = -\sqrt{7} \]

Since there are two distinct values of \(x\) that satisfy the equation, the solution set contains:

two solutions.