peut on me resoudre linequation x^2+1/x-1 .... Pergunta de ideia deulrodd

January 2021 1 105 Report

peut on me resoudre linequation x^2+1/x-1 <3 merci davance ☺

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Amateur Bonjour,

x≠1

[(x²+1)-3(x-1)] /(x-1) <0
=>(x²+1-3x+3)/(x-1)<0
=>(x²-3x+4)/(x-1)<0 le discriminant du numérateur étant négatif (9-4*4=-5),
pas de racines, il est donc toujours positif.
N(x)=x²-3x+4
D(x)=x-1

x-1 ..............---------0+++++++++++++++
(x²-3x+4).....++++++++++++++++++++++
=>N(x)/D(x).---------|++++++++++++++++

Sol={x∈IR | x<1}

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