ОДЗ
x²-x-20>0
x1+x2=1 U x1*x2=-20⇒x1=-4 U x2=5
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-4 5
x<-4 U x>5
x+4>0⇒x>-4
x∈(5;≈)
log(0,5)(x²-x-20)/(x+4)>0
(x²-x-20)/(x+4)<1<br>(x²-x-20)/(x+4)-1<0<br>(x²-x-20-x-4)/(x+4)<0<br>(x²-2x-24)/(x+4)<0<br>x1+x2=2 U x1*x2=-24⇒x1=-4 U x2=6
(x+4)(x-6)/(x+4)<0<br>x-6<0⇒x<6<br>Объединим x∈(5;≈) и x<6⇒x∈(5;6)<br>