Дано
$$frac{7 i}{10} x + frac{left(60 – frac{1000000 i}{x}right) left(frac{7 i}{10} x + 25right)}{frac{7 i}{10} x + 60 – frac{1000000 i}{x} + 25} + 56$$
Подстановка условия
$$frac{7 i}{10} x + frac{left(60 – frac{1000000 i}{x}right) left(frac{7 i}{10} x + 25right)}{frac{7 i}{10} x + 60 – frac{1000000 i}{x} + 25} + 56$$
((60 – 1000000*(-2)/x)*(25 + ((-2)*x)*7/10))/(60 – 1000000*(-2)/x + 25 + ((-2)*x)*7/10) + 56 + ((-2)*x)*7/10
$$frac{7 (-2)}{10} x + frac{left(frac{7 (-2)}{10} x + 25right) left(- frac{1000000 (-2)}{x} + 60right)}{frac{7 (-2)}{10} x + – frac{1000000 (-2)}{x} + 60 + 25} + 56$$
((60 – 1000000*(-2)/x)*(25 + (-2*x)*7/10))/(60 – 1000000*(-2)/x + 25 + (-2*x)*7/10) + 56 + (-2*x)*7/10
$$frac{1}{10} left(-1 cdot 14 xright) + frac{left(60 – – frac{2000000}{x}right) left(frac{1}{10} left(-1 cdot 14 xright) + 25right)}{frac{1}{10} left(-1 cdot 14 xright) + 60 – – frac{2000000}{x} + 25} + 56$$
56 – 7*x/5 + (25 – 7*x/5)*(60 + 2000000/x)/(85 + 2000000/x – 7*x/5)
$$- frac{7 x}{5} + frac{left(60 + frac{2000000}{x}right) left(- frac{7 x}{5} + 25right)}{- frac{7 x}{5} + 85 + frac{2000000}{x}} + 56$$
Степени
$$frac{7 i}{10} x + frac{left(60 – frac{1000000 i}{x}right) left(frac{7 i}{10} x + 25right)}{frac{7 i}{10} x + 85 – frac{1000000 i}{x}} + 56$$
Численный ответ
56.0 + 0.7*i*x + (60.0 – 1000000.0*i/x)*(25.0 + 0.7*i*x)/(85.0 + 0.7*i*x – 1000000.0*i/x)
Рациональный знаменатель
$$frac{1}{100 x left(49 x^{4} – 139277500 x^{2} + 100000000000000right)} left(3430 i x^{6} + 568400 x^{5} – 14624225000 i x^{4} – 778679000000 x^{3} + 13993750000000000 i x^{2} + 810000000000000000 xright)$$
Объединение рациональных выражений
$$frac{1}{70 i x^{2} + 8500 x – 100000000 i} left(3920 i x^{2} + 7 i x left(7 i x^{2} + 850 x – 10000000 iright) + 476000 x + 200 left(3 x – 50000 iright) left(7 i x + 250right) – 5600000000 iright)$$
Общее упрощение
/ 3 2
– -140626000*x + 49*x + 8100000000*I – 14070*I*x /
—————————————————-
2
-100000000*I + 8500*x + 70*I*x
$$- frac{49 x^{3} – 14070 i x^{2} – 140626000 x + 8100000000 i}{70 i x^{2} + 8500 x – 100000000 i}$$
Общий знаменатель
3
-12000000000*I – 138917500*x + 49*x
201 – ————————————
2
-100000000*I + 8500*x + 70*I*x
$$- frac{49 x^{3} – 138917500 x – 12000000000 i}{70 i x^{2} + 8500 x – 100000000 i} + 201$$
Комбинаторика
/ 3 2
– -140626000*x + 49*x + 8100000000*I – 14070*I*x /
—————————————————-
/ 2
10* -10000000*I + 850*x + 7*I*x /
$$- frac{49 x^{3} – 14070 i x^{2} – 140626000 x + 8100000000 i}{70 i x^{2} + 8500 x – 100000000 i}$$
