Tricky Maxima..!!!

Algebra Level 4

Over all sets of real numbers (x,y)(x,y) such that x2+y2=1 { x }^{ 2 }+{ y }^{ 2 }=1, find the maximum value of F(x,y)=(3x+4y)2+(8x+6y)2 F(x,y)= ({ 3x+4y })^{ 2 } + { (8x+6y) }^{ 2 }

to 2 decimal places

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