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Question
If a2 + b2 = 29 and ab = 10, find : a − b
Sum
Solution
(a − b)2 = a2 + b2 − 2ab
⇒ (a − b)2 = 29 − 2×10
⇒ (a − b)2 = 29 − 20
⇒ (a − b)2 = 9
⇒ a − b = `sqrt9`
⇒ a − b = ±3
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Application of Formulae
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