Question

find a pair of integer whose product is -36 and whose difference is 15​

Answer 1

Answer:

Q = +12 or -3     and     P = +3 or +12

Step-by-step explanation

Let the numbers be P and Q

Therefore P - Q = 15     and  P = 15 +Q           (eq.1)

Product = -36

P x Q = -36

(15 + Q) x Q = -36

15Q + Q² = -36

Q² + 15 Q + 36 = 0

Solving this quadratic equation using factorization or any other method

we get the values of Q as -12 and -3

Putting the value of Q in (eq.1) we get P = +3 (if Q = -12) and +12 (if Q = -3)

therefore we get two two values for P and Q

Both the values are correct.