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

Question

3
𝑥
2
=
21
.(1 point)
Responses

two
two

zero
zero

one
one

infinitely many

Answer 1

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

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

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

This implies 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.