Tricky Maxima..!!!

Algebra Level 4

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

to 2 decimal places

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