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Alena228ХД
@Alena228ХД
June 2022
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Разложите на множители х^3+6х^2+11х+6
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NadDer
Х^3+6х^2+11х+6 = x³+6x²+5x+6x+6 = (x³+6x²+5x)+(6x+6) = x*(x²+6x+5)+(6x+6) Разложим на множители x²+6x+5 = (x+1)*(x+5)x²+6x+5 = 0
D = 36-20 = 16 (4)
x1 = (-6+4)\2 =-1
(x2 = (-6-4)\2 = -5
Возвращаемся к незаконченному уравнению:
x*(x
²+6x+5)+(6x+6) = х*(х+1)*(х+5)+6*(х+1) = (х+1)*х*(х+5+:) = (х+1)*(х
²+5х+6)
4 votes
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Answers & Comments
D = 36-20 = 16 (4)
x1 = (-6+4)\2 =-1
(x2 = (-6-4)\2 = -5
Возвращаемся к незаконченному уравнению:
x*(x²+6x+5)+(6x+6) = х*(х+1)*(х+5)+6*(х+1) = (х+1)*х*(х+5+:) = (х+1)*(х²+5х+6)