Question
If (a +
b) = 15 and (a2 + b2) = 113, then find the value of (a ×
b).
Solution
(a + b) = 15 Squaring on both sides, we get, a2 + b2 + 2ab = 225 Or, 113 + 2ab = 225 Or, 2ab = 225 – 113 = 112 Or, ab = 112/2 = 56
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