Question

Solve 2x2−8=120
(1 point)
Responses

no real solutions
no real solutions

x=±8
x is equal to plus or minus 8

x=±51−−√
x is equal to plus or minus square root of 51

x=±62−−√
x is equal to plus or minus square root of 62

Answer 1

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

1. Start by isolating the term with \( x^2 \):
\[
2x^2 - 8 = 120
\]
Add 8 to both sides:
\[
2x^2 = 120 + 8
\]
\[
2x^2 = 128
\]

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

3. Next, take the square root of both sides:
\[
x = \pm \sqrt{64}
\]
\[
x = \pm 8
\]

So the solution is \( x = \pm 8 \).

Therefore, the correct response is:
**x is equal to plus or minus 8.**