+0

# Rational Function Equations

+1
68
2
+999

Let $$a, b, c, x, y$$  and $$z$$ be real numbers such that  $$a+x \neq 0, b+y \neq 0, c+z \neq 0,$$ and

$$a^2=by+cz$$

$$b^2=cz+ax$$

$$c^2=ax+by$$.

Find all possible values of $$\frac{x}{a + x} + \frac{y}{b + y} + \frac{z}{c + z}$$.

I'm not sure where to start. Thanks in advance!

Dec 23, 2019

#1
0

The possible values are -1, 1, and 2.

Dec 27, 2019
#2
+107079
0

I have no idea either CoolStuffYT

Dec 27, 2019