Question 1178897

{{{x^4-13x^2-48=0}}}...factor

{{{x^4-16x^2+3x^2-48=0 }}},,,group

{{{(x^4-16x^2)+(3x^2-48)=0 }}}

{{{x^2(x^2-16)+3(x^2-16)=0 }}}

{{{(x^2 -16)(x^2 + 3) = 0}}}

{{{(x^2 -4^2)(x^2 + 3) = 0}}}

{{{(x - 4) (x + 4) (x^2 + 3) = 0}}}


solutions:

if {{{(x - 4)  = 0}}}=>{{{x=4}}}

if {{{ (x + 4)  = 0}}}=> {{{x=-4}}}

if {{{ (x^2 + 3) = 0}}}=>{{{ x^2 =- 3}}}=>{{{ x =sqrt(- 3)}}} =>{{{ x =i*sqrt(3)}}} or {{{ x = -i*sqrt(3)}}} 

so, we have:

Real solutions:
{{{x=4}}}
{{{x=-4}}}

Complex solutions:
{{{ x =i*sqrt(3)}}} 
{{{ x = -i*sqrt(3)}}}