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Algebra Level 4

x3+16x+175=0{ x }^{ 3 } + 16x + 175= 0

The equation above has roots α\alpha , β\beta and γ\gamma. Find the value of the expression below.

αγ+αβ+γβ+γα+βα+βγ\frac { \alpha }{ \gamma } +\frac { \alpha }{ \beta } +\frac { \gamma }{ \beta } +\frac { \gamma }{ \alpha } +\frac { \beta }{ \alpha } +\frac { \beta }{ \gamma }

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