How many solution are in the solution set for the equation 2x2=20

(1 point)
Responses

Infinitely many
Infinitely many

Two
Two

Zero
Zero

One

1 answer

To solve the equation \( 2x^2 = 20 \), we first simplify it:

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

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

This means there are two solutions: \( \sqrt{10} \) and \( -\sqrt{10} \).

Thus, the correct response is Two.