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7 December, 19:25

If xy = 6 and x^2y+xy^2 + x+y=63, find x^2+y^2.

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  1. 7 December, 19:49
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    69

    Step-by-step explanation:

    Given: xy=6 then y = 6/x and x = 6/y so

    x^2y + xy^2 + x + y = 63 = >

    6x + 6y + x + y = 63 = >

    x + y = 9 = > (x+y) ^2 = 81 = > x^2 + y^2 = 81 - 2xy = 81-12 = 69
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