Question

If p - q = 4 and p² - q² = 24, what is the value of p + q?

Answer 1

p=5, q=1

Explanation:

5-1=4, 5^2-1^2=24

25-1=24

24=24

I just guessed and checked the solution for the answer

Answer 2

p + q = 6

Explanation:

p² - q² ← is a difference of squares and factors as

p² - q² = (p - q)(p + q) , then

p² - q² = 4(p + q) = 24 ( divide both sides by 4 )

p + q = 6