Question
If (a + b) = 9 and (a2 + b2) = 53,
then find the value of (a × b).Solution
(a + b) = 9 Squaring on both sides, we get, a2 + b2 + 2ab = 81 Or, 53 + 2ab = 81 Or, 2ab = 81 – 53 = 28 Or, ab = 28/2 = 14
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