Question

solution sets of quadratic equations quick check
show how many solutions are in the solution set for the equation $3x^2 = 21$. (1 point)

• zero
• infinitely many
• two
• one

Explanation:

Step1: Simplify the equation

Divide both sides of the equation \(3x^{2}=21\) by 3. We get \(x^{2}=\frac{21}{3} = 7\).

Step2: Solve for x

To solve for \(x\), we take the square root of both sides. Remember that the square root of a positive number has two solutions: one positive and one negative. So \(x=\pm\sqrt{7}\), which means there are two solutions.

Answer:

two (corresponding to the option "two")