x+y=6,xy=8,5x^2+5y^2=?
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x+y=6,xy=8,5x^2+5y^2=?x+y=6,xy=8,5x^2+5y^2=?x+y=6,xy=8,5x^2+5y^2=?5x^2+5y^2=5(x^2+y^2)=5[(x+y)^2-2xy
x+y=6,xy=8,5x^2+5y^2=?
x+y=6,xy=8,5x^2+5y^2=?
x+y=6,xy=8,5x^2+5y^2=?
5x^2+5y^2=5(x^2+y^2)
=5[(x+y)^2-2xy]
=5[36-16]
=100
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