Question

Resolva a inequaçao-quociente abaixo em R
-x+3/x2-4x-5

Answer 1

(-x+3)/(x²-4x-5) > 0

q=-x+3  ...raiz -x+3=0 ==>x=3  ;

a<0 ==>q+++++++++++++(3)--------------------

p=x²-4x-5

x²-4x-5=0

x'=[4+√(16+20)]/2=(4+6)/2=5

x''=[4-√(16+20)]/2=(4-6)/2=-1

a=1>0  p+++++++++++++++(-1)--------------------(5)++++++++++++

Estudo de Sinais:

q+++++++++++++++++++(3)----------------------------------

p+++++++++(-1)---------------------------(5)++++++++++++

q/p++++++++(-1)-------------(3)+++++(5)-------------------

 Resposta:   (-∞,-1) U (3,5)