Gwen was asked to solve the equation 3x2−20=7

Question

. What is/are the correct solution(s)?(1 point)
Responses

x=−3
x is equal to negative 3

x=−3, x=3
x=−3, x=3

x=9, x=−9
x=9, x=−9

x=3

Answer 1

To solve the equation \( 3x^2 - 20 = 7 \), we first simplify it:

1. Add 20 to both sides: \[ 3x^2 - 20 + 20 = 7 + 20 \] \[ 3x^2 = 27 \]

2. Divide both sides by 3: \[ x^2 = \frac{27}{3} \] \[ x^2 = 9 \]

3. Now, take the square root of both sides: \[ x = 3 \quad \text{or} \quad x = -3 \]

Thus, the correct solutions are \( x = -3 \) and \( x = 3 \).

The correct response is: x=−3, x=3