How do you solve x^4=8x4=8?

1 Answer
Alan P.
May 17, 2016

x=+-root(4)(8)x=±4√8

Explanation:

Note there is no "pretty" version of this solution.

As an alternate expression:
color(white)("XXX")x^4=8XXXx4=8

color(white)("XXX")rarr x^2=sqrt(8)=2sqrt(2)XXX→x2=√8=2√2

color(white)("XXX")rarr x=+-sqrt(2sqrt(2))XXX→x=±√2√2

...but this is really just the same as root(4)(8)4√8

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