# I should post this 23 years ago...

Calculus Level 4

Given an expression $$A$$ such that $A={x}^{2}+15{y}^{2}+xy+8x+y+1992$

For some $$x,y\in R$$, $$A$$ reaches its minimum possible value of $${A}_{1}$$, which can be expressed as $$a + \frac { b }{ c }$$, where $$a,b,c$$ are positive integers with $$b,c$$ coprime and $$b<c$$.

Determine $$a+b+c$$.

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