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

Answer 1

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

\[ x^2 = 7 \]

Next, we take the square root of both sides. Remember, taking the square root introduces both a positive and a negative solution:

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

Thus, there are 2 distinct solutions: \(x = \sqrt{7}\) and \(x = -\sqrt{7}\).

The answer is two.