√(6+x-x²)/(x+4)-√(6+x-x²)/(2x+5)≤0
ОДЗ
6+x-x²≥0
x²-x-6≤0
x1+x2=1 U x1+x2=-6⇒x1=-2 U x2=3
x∈[-2;3]
√(6+x-x²)*(2x+5-x-4)/(x+4)(2x+5)≤0
√(6+x-x²)≥0⇒(x+1)/(x+4)(2x+5)≤0
x=-1 x=-4 x=-2,5
_ + _ +
----------(-4)----------(-2,5)---------[-1]----------------
x<-4 U -2,5<x≤-1 U x∈[-2;3]<br>Ответ x∈[-2;-1] U {3}