bettafishlife82 bettafishlife82

08-07-2020
Mathematics

contestada

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

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tumber1235 tumber1235

08-07-2020

Answer:

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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