Question

x^2+5x<24
x^2>-5x+14
x^2>7x+8
Решите неравенства, подробно)

Answer 1

1
x²+5x-24<0
x1+x2=-5 u x1*x2=-24⇒x1=-8 U x2=3
x∈(-8;3)
2
x²+5x-14>0
x1+x2=-5 u x1*x2=-14⇒x1=-7 U x2=2
x∈(-∞;-7) U (2;∞)
3
x²-7x-8>0
x1+x2=7 u x1*x2=-8⇒x1=-1 U x2=8
x∈(-∞;-10 U (8;∞)