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

Question

KnowledgeBoat · Accepted Answer

(i) We know that, (p - q)² = p² + q² - 2pq ⇒ (p - q)² = p² + q² + 2pq - 2pq - 2pq ⇒ (p - q)² = (p + q)² - 4pq ⇒ (p + q)² = (p - q)² + 4pq ⇒ (p + q) = Substituting value we get, Hence, p + q = ±15. (ii) p² - q² = (p - q)(p + q). Substituting value we get, ⇒ p² - q² = 9 × ±15 = ±135. Hence, p² - q² = ±135.

Mathematics

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

Expansions

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Mathematics

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

Expansions

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