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

Answer 1

To solve the equation \( 3x^2 = 21 \), first divide both sides by 3:

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

This simplifies to:

\[ x^2 = 7 \]

Next, take the square root of both sides:

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

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

Therefore, the number of solutions in the solution set is two.