How many solutions are in the solution set for the equation 2x^2 = 20

Question

A. Two
B. Zero
C. One
D. Infinitely many

Answer 1

To solve the equation \( 2x^2 = 20 \), we can start by simplifying it.

1. Divide both sides by 2: \[ x^2 = 10 \]

2. Next, take the square root of both sides: \[ x = \pm\sqrt{10} \]

This indicates that there are two solutions: \( x = \sqrt{10} \) and \( x = -\sqrt{10} \).

So the number of solutions in the solution set is two.

The answer is A. Two.