Let x and y be two positive integers and p be a prime number. If x (x - p) - y (y + p) = 7p, what will be the

Question

Let x and y be two positive integers and p be a prime number. If x (x - p) - y (y + p) = 7p, what will be the minimum value of x - y?

Accepted Answer

None of the above. The given equation is, x (x - p) - y (y + p) = 7p x 2 − p x − y 2 − p y = 7 p x^2-px-y^2-py=7p x 2 − p x − y 2 − p y = 7 p x 2 − y 2 − p x − p y = 7 p x^2-y^2-px-py=7p x 2 − y 2 − p x − p y = 7 p ( x + y ) ( x − y ) − p ( x + y ) = 7 p \left(x+y\right)\left(x-y\right)-p\left(x+y\right)=7p ( x + y )