Reduce[(5 - 5 x + x^2)^(20 - 9 x + x^2) == 1, x, Integers] gives the full solution set of x={1,2,3,4,5} but the step-by-step solutions (see attached) only show how to find x=1, 4 & 5. The two "missing" solutions are the ones where the base is -1 and, while the expression is undefined (since negative) for almost all values between the roots of x^2 - 5x + 5 =0 approx 1.382 & 3.618 it is defined for x = 2 and x = 3 when the base takes the value -1.
Any thoughts on why the step-by-step solutions don't deal with the case when the base = -1
Thanks,
Michael
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