Powers (Indices)

Something I noticed...

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Re: Powers (Indices)

#21  Postby scott1328 » Apr 27, 2016 3:51 pm

scott1328 wrote:
VazScep wrote:
scott1328 wrote:There is a third intersection when A is even and x is negative.
Yes, you're right. Forgot to mention I was just thinking about the positive quadrant.

Which leads me to ask:

Is there a general solution for the roots of the equation

A^X - X^A = 0 when A is a positive even integer?

for A=2, the roots are 2,4, and ~-0.766614...

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