Question

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:
\[
x = 8 \quad \text{or} \quad x = -8
\]