Решить систему уравнений:
[tex] \left \{ {{5x-y-2=0} \atop { x^{2} -2xy+y^{2} =4}} \right. [/tex]
[tex] \left \{ {{5x-y-2=0} \atop { x^{2} -2xy+y^{2} =4}} \right. [/tex]
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Answers & Comments
Подставляем y во второе уравнение: x²-2x(5x-2)+(5x-2)²=4
x²-10x²+4x+25x²-20x+4-4=0
16x²-16x=0
16x(x-1)=0
x=0, y=-2
x=1, y=3
Ответ: (0; -2), (1;3)