If a + b = 4 and ab = -12, find (i) a - b (ii) a² - b².

Question

KnowledgeBoat · Accepted Answer

(i) We know that, (a - b)² = a² + b² - 2ab (a - b)² = a² + b² + 2ab -2ab - 2ab (a - b)² = (a + b)² - 4ab (a - b) = Substituting values we get, Hence, a - b = ±8. (ii) We know that, a² - b² = (a + b)(a - b). Substituting values we get, ⇒ a² - b² = 4 × ±8 = ±32. Hence, a² - b² = ±32.

Mathematics

If a + b = 4 and ab = -12, find
(i) a - b
(ii) a² - b².

Expansions

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Mathematics

If a + b = 4 and ab = -12, find(i) a - b(ii) a2 - b2.

Expansions

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