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# Enter all solutions to ​

+1
125
4
+321

Enter all solutions to $${(x-2)}^{25-x^2} = 1$$

Apr 7, 2021

#1
+114069
+2

If I am only dealing with real numbers then

x-2=1

x=3

or

x-2 could be -1 if   25-x^2 is even

if x=1                    25-x^2 = 24  and that is even

so

x=1  or  x=3

Apr 7, 2021
#2
+420
+2

How about when the exponent is equal to zero (when x is equal to $$\pm 5$$)?

textot  Apr 7, 2021
#3
+321
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