Nonzero real numbers
x
x,
y
y,
z
z are such that
x
2
−
y
z
=
y
2
−
z
x
=
z
2
−
x
y
.
x
2
−yz=y
2
−zx=z
2
−xy.
What is the minimum possible value of
x
+
y
z
+
y
+
z
2
x
+
z
+
x
5
y
?
z
x+y
+
2x
y+z
+
5y
z+x
?
Mathbot Says...
I wasn't able to parse your question, but the HE.NET team is hard at work making me smarter.