If x+y=5 and XY=6 then find x^3 - y^3

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Solution

X+Y=5
=>X=5-Y

XY =6
=>(5-Y)Y=6
=>5Y-Y²=6
=>Y²-5Y+6=0
=>Y²-3Y-2Y+6=0
=>Y(Y-3)-2(Y-3)=0
=>(Y-3)(Y-2)=0
=>(Y-3)=0 or (Y-2)=0
Y=3 Y=2
X=2 X=3
X³-Y³=2³-3³=8-27=-19

OR,
X³-Y³=3³-2³=27-8=19

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Similar questions

If x+y=5 and xy=6, then find x^3+y^3

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