To solve this equation, we need to first expand the expression on the left side using the distributive property:
(х^2 + х - 5) (х^2 + х + 1)= х^2 х^2 + х^2 х + х^2 1 + х х^2 + х х + х 1 - 5 х^2 - 5 * х - 5
Simplifying this further:
= х^4 + х^3 + х^2 + х^3 + х^2 + х + х - 5х^2 - 5х - 5= х^4 + 2х^3 + 2х^2 - 4х - 5
Now we can set this expression equal to -9 and solve for x:
х^4 + 2х^3 + 2х^2 - 4х - 5 = -9х^4 + 2х^3 + 2х^2 - 4х + 5 = 0
This is a quartic equation, which may have multiple solutions. To solve it, we can either use numerical methods or factorization techniques.
To solve this equation, we need to first expand the expression on the left side using the distributive property:
(х^2 + х - 5) (х^2 + х + 1)
= х^2 х^2 + х^2 х + х^2 1 + х х^2 + х х + х 1 - 5 х^2 - 5 * х - 5
Simplifying this further:
= х^4 + х^3 + х^2 + х^3 + х^2 + х + х - 5х^2 - 5х - 5
= х^4 + 2х^3 + 2х^2 - 4х - 5
Now we can set this expression equal to -9 and solve for x:
х^4 + 2х^3 + 2х^2 - 4х - 5 = -9
х^4 + 2х^3 + 2х^2 - 4х + 5 = 0
This is a quartic equation, which may have multiple solutions. To solve it, we can either use numerical methods or factorization techniques.