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#35025

quadratic equations

equations

hard

100 sec

In the given equation, $m$ and $n$ are constants such that $m \neq = - n$ and $m \neq = n$ .
$(m + n) x^{2} - (m^{2} - n^{2}) x + mn = 0$
The sum of the solutions to the given equation is $k (m - n)$ , where $k$ is a constant. What is the value of $k$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.