Question 365840
{{{x^4+3x^2=x^3}}}
{{{x^4-x^3+3x^2=0}}}
{{{x^2(x^2-x+3)=0}}}
.
.
{{{highlight(x=0)}}} is the real solution.
.
.
.
{{{x = (-(-1) +- sqrt( (-1)^2-4*1*3 ))/(2*1) }}}
{{{x = (1 +- sqrt( 1-12))/(2) }}}
{{{x = (1 +- sqrt( -11 ))/(2) }}}
{{{highlight(x = (1 +- sqrt(11)i)/2) }}} is the complex solution.
.
.
.
{{{f(x)= 2x^3+10x=0}}}
{{{2x(x^2+5)=0}}}
.
.
{{{highlight_green(x=0)}}}
.
.
{{{x^2+5=0}}}
{{{x^2=-5}}}
{{{highlight_green(x=0 +- sqrt(5)i)}}}