Question

Solve the square root equation 2x−3−−−−−−√=5 .(1 point)
Responses

x=14
x equals 14

x=1
x equals 1

x=4
x equals 4

x=11

Answer 1

To solve the equation \(\sqrt{2x - 3} = 5\), follow these steps:

1. Square both sides to eliminate the square root:
\[
(\sqrt{2x - 3})^2 = 5^2
\]
\[
2x - 3 = 25
\]

2. Add 3 to both sides:
\[
2x = 25 + 3
\]
\[
2x = 28
\]

3. Divide by 2:
\[
x = \frac{28}{2} = 14
\]

Thus, the solution is:
\[
\boxed{14}
\]