Question

Which of the following are solutions to the equation below? (choose 2)



p² = 144
Responses
A -14-14
B 88
C -12 -12
D 12 12
E 14

Answer 1

To solve the equation \( p^2 = 144 \), we take the square root of both sides:

\[
p = \pm \sqrt{144}
\]

Calculating the square root of 144 gives:

\[
\sqrt{144} = 12
\]

Thus, the solutions for \( p \) are:

\[
p = 12 \quad \text{and} \quad p = -12
\]

Now, looking at the options provided:

A: -14 (not a solution)
B: 88 (not a solution)
C: -12 (is a solution)
D: 12 (is a solution)
E: 14 (not a solution)

The correct choices are **C (-12)** and **D (12)**.