To solve this equation, first get rid of the fraction by multiplying everything by (X^2+6X):
(X^2+6X)(X^2+6X+11) + 18 = 0Expand the terms:
X^4 + 6X^3 + 11X^2 + 6X^3 + 36X^2 + 66X + 18 = 0Combine like terms:
X^4 + 12X^3 + 47X^2 + 66X + 18 = 0This is a quartic equation that is not easily factorable. You can use numerical methods or a graphing calculator to find the approximate solutions.
To solve this equation, first get rid of the fraction by multiplying everything by (X^2+6X):
(X^2+6X)(X^2+6X+11) + 18 = 0
Expand the terms:
X^4 + 6X^3 + 11X^2 + 6X^3 + 36X^2 + 66X + 18 = 0
Combine like terms:
X^4 + 12X^3 + 47X^2 + 66X + 18 = 0
This is a quartic equation that is not easily factorable. You can use numerical methods or a graphing calculator to find the approximate solutions.