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

asked May 12, 2021 51.1k views

4 votes

by Qbik

4.0k points

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7 votes

Answer:

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

Gefei answered May 16, 2021

by Gefei

4.3k points

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