How do you solve # 5/(x+9) + 11 /( x+2) =9 /( x ^2 + 11x + 18)#?
First of all, compute the GCD in the first member:
Simplifying the numerator, we obtain
Simplifying the denominator, we obtain
So, our equation becomes
Since the denominators are equal, the equality holds if and only if it holds between the numerators, i.e.
P.S.: the denominator(s) are zero for