What is x in #x^2018+1/x=x^2017+1# equal to?

1 Answer
May 1, 2018

#x=1#

Explanation:

There's no real reason to do the full math here to simplify - it's more of a critical thinking problem. The only obvious answer that satisfies the equation is #1#, because #1/1=1# and #1^n# where #n# is any number is equal to #1#. To check, we can input these values:
#(1)^2018+1/1=(1)^2017+1#
#1+1=1+1#, so #x=1#.