Question

Решите неравенство х^2-6х-7/х^2-49《0

Answer 1

(x²-6x-7)/(x²-49)≤0
x²-6x-7=0
x1=x2=6 U x1*x2=-7⇒x1=-1 U x2=7
(x+1)(x-7)/(x-7)(x+7)≤0
(x+1)/(x+7)≤0,x≠7
x∈[-7;-1]