I have discovered a truly marvelous demonstration of this proposition, but

xz+yz=5z \large \displaystyle x^z + y^z = 5^z

If x,y,zx,y,z are integers, find the total number of triplets (x,y,z)(x,y,z) that satisfy the equation above.

Image Credit: Wikimedia AmericanXplorer13.
×

Problem Loading...

Note Loading...

Set Loading...