Х + 2Y = 5
2Y = 5 - X
Y = 2,5 - 0,5X
Y^2 = ( 2,5 - 0,5X)^2 = 6,25 - 2,5X + 0,25X^2
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2X^2 + Y^2 - XY + X = 5
2X^2 + 0,25X^2 - 2,5X + 6,25 - X * ( 2,5 - 0,5X) + X = 5
2,25X^2 - 2,5X + 6,25 - 2,5X + 0,5X^2 + X = 5
2,75X^2 - 4X + 1,25 = 0
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D = 16 - 13,75 = 2,25 ; √ D = 1,5
X1 = ( 4 + 1,5 ) : 5,5 = 1
X2 = 2,5 : 5,5 = 5/2 : 11/2 = 5/11
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Y = 2,5 - 0,5X
Y1 = 2,5 - 0,5 = 2
Y2 = 2,5 - (1/2 * 5/11) = 2,5 - ( 5/22) = 5/2 - 5/22 = 55/22 - 5/22 = 50/22 = 25/11 =
= 2 целых 3/11
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Ответ : ( 1 ; 2 ) U ( 5/11 ; 2 3/11 )