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alenamakamaka
@alenamakamaka
July 2022
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Как решить уравнение (у+4)у= (2у-1) (у+2)
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GlebGor1998
Verified answer
(у + 4)*у = (2у - 1)(у + 2)
y^2 + 4y = 2y^2 - y + 4y - 2
y^2 + 4y - 2y^2 + y - 4y + 2 = 0
-y^2 + y + 2 = 0
y^2 - y - 2 = 0
Дискриминант D уравнения равен : (-1)^2 - 4*1 *(-2) = 1 + 8 = 9
Корень квадратный из D равен 3
Корни уравнения равны : 1-ый = (-(-1) + 3) / 2*1 = 4/2 = 2
2-ой = (- (-1) - 3) / 2*1 = - 2/2 = - 1
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Answers & Comments
Verified answer
(у + 4)*у = (2у - 1)(у + 2)y^2 + 4y = 2y^2 - y + 4y - 2
y^2 + 4y - 2y^2 + y - 4y + 2 = 0
-y^2 + y + 2 = 0
y^2 - y - 2 = 0
Дискриминант D уравнения равен : (-1)^2 - 4*1 *(-2) = 1 + 8 = 9
Корень квадратный из D равен 3
Корни уравнения равны : 1-ый = (-(-1) + 3) / 2*1 = 4/2 = 2
2-ой = (- (-1) - 3) / 2*1 = - 2/2 = - 1