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Question

Hi

If x+y=9 and xy = 20 . Find the value of x2 + y2?

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Solution

x+y=9: xy=20

x+y=9 (squaring both sides)

(x+y)^2=(9)^2

x^2+y^2+2xy=81

x^2+y^2+2(20)=81

x^2+y^2=81-40

x^2+y^2=41


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