Question
If (a + b) = 17 and (a2 + b2) =
145, then find the value of (a Ă— b).Solution
(a + b) = 17 Squaring on both sides, we get, a2 + b2 + 2ab = 289 Or, 145 + 2ab = 289 Or, 2ab = 289 – 145 = 144 Or, ab = 144/2 = 72
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