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Question
If a2 + b2= 10 and ab = 3; find : a – b
Sum
Solution
(a − b)2 = a2 + b2 − 2ab
⇒ (a − b)2 = 10 − 2×3
⇒ (a − b)2 = 10 − 6
⇒ (a − b)2 = 4
⇒ (a − b) = `sqrt4`
⇒ a − b = ±2
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Application of Formulae
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