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Question
If x+y=5 and xy=6, then find x^3+y^3
If x+y=5 and xy=6, then find x^3+y^3
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Solution
x+y=5 and xy=6
y=6/x
So
x+6/x=5
(x^2+6)/x=5
x^2+6=5x
x^2-5x+6=0
(x-2)*(x-3)=0
x=2 and x=3
y=6/x
So
x+6/x=5
(x^2+6)/x=5
x^2+6=5x
x^2-5x+6=0
(x-2)*(x-3)=0
x=2 and x=3
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