1/x+1/y=30 x=y+11

Вы ввели

[LaTeX]

1   1     
- + - = 30
x   y     

$$\frac{1}{y} + \frac{1}{x} = 30$$

x = y + 11

$$x = y + 11$$

Быстрый ответ

[LaTeX]

$$x_{1} = - \frac{\sqrt{27226}}{30} + \frac{83}{15}$$
=
$$- \frac{\sqrt{27226}}{30} + \frac{83}{15}$$
=

0.0332323241598553

$$y_{1} = - \frac{\sqrt{27226}}{30} - \frac{82}{15}$$
=
$$- \frac{\sqrt{27226}}{30} - \frac{82}{15}$$
=

-10.9667676758401

$$x_{2} = \frac{\sqrt{27226}}{30} + \frac{83}{15}$$
=
$$\frac{\sqrt{27226}}{30} + \frac{83}{15}$$
=

11.0334343425068

$$y_{2} = - \frac{82}{15} + \frac{\sqrt{27226}}{30}$$
=
$$- \frac{82}{15} + \frac{\sqrt{27226}}{30}$$
=

0.0334343425068113

Численный ответ

[LaTeX]

x1 = 11.03343434250681
y1 = 0.03343434250681133

x2 = 0.03323232415985533
y2 = -10.96676767584014