please help me solve this equation :
> +
~~~~~~~~~~~~~
The "solutions" from both @CubeyThePenguin and @josgaritmetic are WRONG.
Below I brought the correct solution.
Rewrite it equivalently in this form
- - 4 > 0
- - 8 > 0
- - > 0 <<<--- now we have common denominator (x+4)
> 0
> 0
> 0
The quadratic polynomial in the numerator has the roots
= = = .
So, the numerator has the roots = = -4.782 and = = 8.782.
There are three critical points on the number line,
= = -4.782, -4 and = = 8.782.
They divide the number line in 4 intervals, from left to right
(,), (,), (,) and ,).
The solution set for the given inequality is the union of the second and the fourth intervals.
Solved.