Question 1147963
{{{ x^2 - x + 1/2 }}}
Use the quadratic formula
{{{ x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{ x = (-(-1) +- sqrt( (-1)^2 - 4*1*(1/2) ))/(2*1) }}}
{{{ x = ( 1 +- sqrt( 1 - 2 )) / 2 }}}
{{{ x[1] = ( 1 + i )/2 }}}
{{{ x[2] = ( 1 - i )/2 }}}
{{{ ( x - ( 1 - i )/2 )*( x - ( 1 + i )/2 ) }}}
This seems to check out