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avatar+321 

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

 Apr 7, 2021
 #1
avatar+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
avatar+420 
+2

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

textot  Apr 7, 2021
 #3
avatar+321 
0

your right!!! the answer is 1,3,5,-5

itachiuchihakujo  Apr 7, 2021
 #4
avatar+114069 
+1

Yes, good spotting.  :)

Melody  Apr 8, 2021

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