Question 700270
{{{x^4=1}}}...=>...{{{x=root(4,1)}}}...=>...{{{x=1}}} or {{{x=-1}}}...real solutions and {{{x=i}}} or {{{x=-i}}}...complex solutions


check solutions:

if {{{x=1}}}...=>.. {{{1^4=1}}}....=>.. {{{1*1*1*1=1}}}...=>...{{{1=1}}}...{{{true}}}

if {{{x=(-1)}}}...=>.. {{{(-1)^4=1}}}....=>.. {{{(-1)*(-1)*(-1)*(-1)=1}}}...=>...{{{1=1}}}...{{{true}}}

if {{{x=i}}}...=>.. {{{i^4=1}}}....=>.. {{{i*i*i*i=1}}}...=>...{{{i^2*i^2=1}}}.....=>...{{{(-1)*(-1)=1}}}...=>...{{{1=1}}}...{{{true}}}

if {{{x=(-i)}}}...=>.. {{{(-i)^4=1}}}....=>.. {{{(-i)*(-i)*(-i)*(-i)=1}}}...=>...{{{(-i)^2*(-i)^2=1}}}......=>...{{{(-1)*(-1)=1}}}...=>...{{{1=1}}}..{{{true}}}