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