Question

If p - q = 9 and pq = 36, evaluate
(i)p+q (ii)p2-q2

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Answer 1

Step-by-step explanation:

We know , p + q 2 = p - q 2 + 4 pq so , p + q 2 = 9 2 + 4 36 p + q 2 = 81 + 144 p + q 2 = 225 so , p + q = ± 15 We know p 2 - q 2 = p - q p + q = 9 15 or 9 - 15 = 135 or - 135 ANS . .