If x+y =10and xy=21,find 2(x²+y²)
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x+y=10
(x+y)^2=10^2=x^2+y^2+2xy
therefore x^2 + y^2=x^2+y^2+2xy-2xy
therefore x^2+ y^2=(x+y)^2 -2xy
=100- 2(21)
=100-42
x^2+ y^2=58
2(x^2+ y^2)=58*2
=116
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