Resolva a equação x³-6x²+11x-6=0, sabendo que uma das raizes é a media aritmetica das outras duas.... Pergunta de ideia deDani76561

Dani76561 @Dani76561

December 2019 1 79 Report

Resolva a equação x³-6x²+11x-6=0, sabendo que uma das raizes é a media aritmetica das outras duas

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Matematica2017

x³+6x²+11x+6=0

Resolver
Resolver
x³+6x²+11x+6=0
x³+6x²+9x+2x+6=0

x.(x²+6x+9)+2.(x+3)=0

x.(x+3)²+2.(x+3)=0

(x+3).[x.(x+3)+2]=0

(x+3).(x²+3x+2)=0

x+3=0.....x'=-3

x²+3x+2=0

x=-3+-raiz(9-8)]/2

x"=-1
x'"=-2

x³+6x²+11x+6=
=(x+1).(x+2).(x+3)=0

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