Solve 2x2−8=120 (1 point)

Answer 1

To solve the equation \(2x^2 - 8 = 120\), follow these steps:

1. Add 8 to both sides of the equation: \[ 2x^2 - 8 + 8 = 120 + 8 \] This simplifies to: \[ 2x^2 = 128 \]

2. Divide both sides by 2: \[ \frac{2x^2}{2} = \frac{128}{2} \] This simplifies to: \[ x^2 = 64 \]

3. Take the square root of both sides: \[ x = \pm \sqrt{64} \] This gives us: \[ x = \pm 8 \]

The solutions to the equation \(2x^2 - 8 = 120\) are: \[ x = 8 \quad \text{or} \quad x = -8 \]