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викушичка
Х² + Y²=10
xy=3  ⇒x=3/y

(3/y)² + y² = 10
9/y² + y² = 10  все это *y²⇒
9+y(в 4 степени) = 10y²
y(в 4 степени) - 10y² +9 = 0
 пусть  y(в 4 степени) = t²⇒
t²-10t+9=0
D= 100-4*1*9 = 100-36 = 64= 8²
t1= 10-8/2=1
t2 = 10+8/2 = 9

возвращаемся к "пусть  y(в 4 степени) = t² " и подставляем значение t
y(в 4 степени) = 1
y1 = 1       y2 = -1
y(в 4 степени) = 81
y3=3     y4 = -3

Ответ: y1 = 1, y2 = -1, y3=3, y4 = -3

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