Question

If p- q = 4 and p2 - 92 = 24. what is the value of p +g?
A) 2
B) 4
C) 6
D) 8

Answer 1

By recognizing that p^2 - q^2 is a difference of squares, we can apply the given p - q = 4 to solve for p + q, which calculates to be 6.

Step-by-step explanation:

The problem involves two equations, p - q = 4 and p2 - q2 = 24. Our task is to find the value of p + q. To solve this, we should recognize that p2 - q2 is a difference of squares which factors to (p + q)(p - q). Using the information we have from the first equation (p - q = 4), we can substitute this into our second equation, resulting in (p + q)(4) = 24. Dividing both sides of the equation by 4 yields p + q = 6. Therefore, the value of p + q is 6, which corresponds to option C.