If (a + b) = 1 and (1/a) – 2b = 5/a then find the value of a2 + b2.
As, a2 + b2 = (a + b)2 – 2ab ------------- (1) (1/a) – 2b = 5/a 1/a – 5/a = 2b - 4/a = 2b 2ab = - 4 Substitute the values of 2ab and a + b in (1) a2 + b2 = 1 - (-4) = 5
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