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

Answer 1

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

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 means there are two solutions to the equation: \( x = \sqrt{7} \) and \( x = -\sqrt{7} \).

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