Question

If p2-8=17,which of the following is a possible value of p.options are 4,5,6,7,8

Answer 1

To solve the equation \( p^2 - 8 = 17 \), we start by isolating \( p^2 \):

\[
p^2 - 8 + 8 = 17 + 8
\]
\[
p^2 = 25
\]

Next, we take the square root of both sides:

\[
p = \sqrt{25} \quad \text{or} \quad p = -\sqrt{25}
\]
\[
p = 5 \quad \text{or} \quad p = -5
\]

From the options provided (4, 5, 6, 7, 8), the possible value of \( p \) is:

\[
\boxed{5}
\]