# 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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