S/r1+s/r2+s/r3-s/r is equal to

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\frac{r_{1}}{(s - b) (s - c)} + \frac{r_{2}}{(s - c) (s - a)} + \frac{r_{3}}{(s - a) (s - b)} = \frac{3}{r}

A B C,

r_{1}, r_{2}, r_{3}

\frac{b c}{r_{1}} + \frac{c a}{r_{2}} + \frac{a b}{r_{3}} = k [\sum \frac{s}{a} - 3],

k

r_{1}, r_{2}, r_{3}, s, △, a, b, c

\frac{r_{1}}{(s - b) (s - c)} + \frac{r_{2}}{(s - c) (s - a)} + \frac{r_{3}}{(s - a) (s - b)} = \frac{3}{r}

Δ A B C, Δ, R, r, r_{1}, r_{2}, r_{3}, s

r_{1}, r_{2}, r_{3}

x^{3} + l x^{2} + m x + n = 0

l =

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