Question

Помогите пожалуйста! Даю все баллы

Answer 1

Ответ:

$x = 6 - y \\ \frac{1}{x} + \frac{1}{y} = \frac{3}{4}$

$\frac{1}{6 - y} + \frac{1}{y} = \frac{3}{4}$

$1y + 6 - y = 0.75y(6 - y)$

$4.5y - 0.75y^{2} = 6$

$0.75y^{2} - 4.5y + 6 = 0$

$d = 4.5^{2} - 4 \times 6 \times 0.75$

$d = 20.25 - 18 = 2.25 = 1.5 {}^{2}$

$y1 = \frac{4.5 + 1.5}{1.5} = 4$

$y2 = \frac{4.5 - 1.5}{1.5} = 2$

ОДЗ: х≠0, у≠0

$y = 4 \\ x = 6 - 4 = 2$

$y = 2 \\ x = 6 - 2 = 4$

Ответ: (2; 4), (4; 2)