Which describes the solutions of the equation?

Option A:

Since 7 and 11 are both rational, the sum and difference are rational.

Solution:

Given equation:

Add 49 on both sides of the equation.

Take common factor (p - 7) outside.

Taking square root on both sides.

p - 7 = ±11

p = ±11 + 7

i.e., p = 11 + 7,   p = -11 + 7

11 and 7 are rational numbers.

So the sum and and difference is also rational.

Option A is the correct answer.

Since 7 and 11 are both rational, the sum and difference are rational.