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1997natasha1
@1997natasha1
July 2021
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можно ли сократить?(3х^2-2х-1)/(9х^2-6х+1)
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kalbim
Verified answer
Нельзя
Знаменатель: 9x^2 - 6x + 1 = (3x)^2 - 2*3x*1 + 1^2 = (3x - 1)^2
Числитель: 3x^2 - 2x - 1 = 3*(x - x1)(x - x2) = 3(x + 1/3)(x - 1) = (3x + 1)(x - 1)
D=16
x1=(2 - 4)/6 = -2/6 = -1/3
x2 = (2+4)/6 = 1
Дробь: (3x + 1)(x - 1)/(3x - 1)^2
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Answers & Comments
Verified answer
НельзяЗнаменатель: 9x^2 - 6x + 1 = (3x)^2 - 2*3x*1 + 1^2 = (3x - 1)^2
Числитель: 3x^2 - 2x - 1 = 3*(x - x1)(x - x2) = 3(x + 1/3)(x - 1) = (3x + 1)(x - 1)
D=16
x1=(2 - 4)/6 = -2/6 = -1/3
x2 = (2+4)/6 = 1
Дробь: (3x + 1)(x - 1)/(3x - 1)^2