If (a + b) = 7 and ab = 9, then find the value of (a2 + b2).
According to the question, (a + b)2 = 72 Or, a2 + b2 + 2ab = 49 Or, a2 + b2 + 18 = 49 So, a2 + b2 = 49 - 18 = 31
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