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17 May, 07:33

If ab=2 and (a+b) ^2=10, what is a^2+b^2?

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  1. 17 May, 11:21
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    (a+b) ² = a² + 2ab + b²

    if ab = 2, then a = 2/b and ab = 2 in the above equation

    (a+a/2) ² = a² + 2 + b²

    (3a/2) ² = a²+b²+2

    9a²/4 - 2 = a²+b² =
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