x^3/y+y^2=28
y^3/x+x^2=14
x≠0 y≠0
приводим к общему знаменателю
(x^3+y^3)/y=28
(y^3+x^3)/x=14
---
x^3+y^3y=28y
y^3+x^3=14x
28y = 14x
x = 2y
(2y)^3/y + y^2 = 28
8y^3/y + y^2 = 28
9y^2=28
y^2 = 28/9
y = +- 2√7/3
y1 = -2√7/3 x1 = -4√7/3
y2 = 2√7/3 x2 = 4√7/3
x^3/y+y^2=28
y^3/x+x^2=14
x≠0 y≠0
приводим к общему знаменателю
(x^3+y^3)/y=28
(y^3+x^3)/x=14
---
x^3+y^3y=28y
y^3+x^3=14x
28y = 14x
x = 2y
(2y)^3/y + y^2 = 28
8y^3/y + y^2 = 28
9y^2=28
y^2 = 28/9
y = +- 2√7/3
y1 = -2√7/3 x1 = -4√7/3
y2 = 2√7/3 x2 = 4√7/3