(X^2+6x+5amp;lt;0    Решите системы неравенств. (x^2+4x+3amp;gt;0 

X-6x+5lt;0
x-6x+5=0
D=b - 4ac  36 - 4 * 1 * 5 = 36 - 20 = 16 = 4
x1 = -b+4/2a  6+4/2 = 5
x2 = -b-4/2a  6-4/2 = 1
(x-5)(x-1)
Нули: 5, 1

-------+---------(1)---------_----------(5)-----+------gt;
x  (1 ; 5)

x+4x+3gt;0
x+4x+3=0
D = 16 - 4 * 1 * 3 = 16 - 12 = 4 = 2
x1 = -4 + 2/2 = -1
x2 = -4 - 2/2 = -3
(x+1)(x+3)
Нули: -1, -3

-+---(-3)---_----(-1)-------------------------+---------------------gt;

x (- ; -3 ) U (-1 ; +)

---------------------------(1)--------------------------(5)-----------------------gt;

--------(-3)------------(-1)--------------------------------------------------------gt;

Ответ: x  (-3 ; 5)