We know that x + y = 10, xy = 24, 2x ^ 2 + 2Y ^ 2=

x+y=10
Square on both sides
x²+y²+2xy=100
So x & # 178; + Y & # 178; = 100-2xy
=100-2*24
=52
So the original formula = 2 (X & # 178; + Y & # 178;) = 104

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