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

Question

Responses

zero
zero

one
one

two
two

infinitely many

Answer 1

To solve the equation \( 3x^2 = 21 \), we first need to isolate \( x^2 \):

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

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

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

Therefore, there are two solutions in the solution set.

The correct response is: two