Ответы на вопрос:
x/y + y/x = 5/2
x + y = 6
x/y = t x,y≠0
y/x = 1/t
t + 1/t = 5/2
(t² + 1)/t = 5/2
t² + 1 = 5/2 * t
2t² + 2 = 5t
2t² - 5t + 2 = 0
d= 25 - 16 = 9
t12=(5+-3)/4 = 1/2 2
1/ x/y = 1/2
y = 2x
x +
2x = 6
x = 2 y = 2x = 4
2/ x/y = 2
x = 2y
2y + y = 6
y = 2 x=2y = 4
ответ (4. 2) (2. 4)
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