Дано
$$frac{x – frac{64}{5}}{sqrt{left(x – frac{64}{5}right)^{2} + left(y – frac{13}{2}right)^{2}}} + frac{x – frac{143}{10}}{sqrt{left(x – frac{143}{10}right)^{2} + left(y – frac{4}{5}right)^{2}}} + frac{x – frac{143}{10}}{sqrt{left(x – frac{143}{10}right)^{2} + left(y – frac{17}{5}right)^{2}}} + frac{x – frac{46}{5}}{sqrt{left(x – frac{46}{5}right)^{2} + left(y – frac{16}{5}right)^{2}}} = 0$$
y – 16/5 y – 17/5 y – 4/5 y – 13/2
—————————— + ——————————- + —————————— + —————————— = 0
___________________________ __________________________ _________________________ ___________________________
/ 2 2 / 2 / 2 / 2 2
/ (x – 46/5) + (y – 16/5) / / 143 2 / / 143 2 / (x – 64/5) + (y – 13/2)
/ |x – —| + (y – 17/5) / |x – —| + (y – 4/5)
/ 10/ / 10/
$$frac{y – frac{13}{2}}{sqrt{left(x – frac{64}{5}right)^{2} + left(y – frac{13}{2}right)^{2}}} + frac{y – frac{4}{5}}{sqrt{left(x – frac{143}{10}right)^{2} + left(y – frac{4}{5}right)^{2}}} + frac{y – frac{17}{5}}{sqrt{left(x – frac{143}{10}right)^{2} + left(y – frac{17}{5}right)^{2}}} + frac{y – frac{16}{5}}{sqrt{left(x – frac{46}{5}right)^{2} + left(y – frac{16}{5}right)^{2}}} = 0$$
Численный ответ
x1 = 13.62277834525026
y1 = 3.37344228804903
x2 = 13.62277834525309
y2 = 3.373442288049044