Question 536660
complex roots always come in pairs
that are conjugates, like
{{{ -5 + j }}} and {{{ -5 - j }}}
the roots are:
{{{ (x - ( -5 + j ))*( x - (-5 - j )) }}}
{{{ x^2 - ( -5 + j )*x - ( -5 - j )*x + ( -5 + j )*( -5 - j ) }}}
{{{ x^2 + 5x - j*x + 5x + j*x + 25 - 5*j + 5*j - j^2 }}}
{{{ x^2 + 10x + 25 + 1 }}}
{{{ x^2 + 10x + 26 }}} answer
check:
{{{ x^2 + 10x + 26 = 0 }}}
{{{ ( -5 - j )^2 + 10*( -5 - j ) + 26 = 0 }}}
{{{ 25 + 5j + 5j + j^2 - 50 - 10*j + 26 = 0 }}}
{{{ 25 + 10*j - 1 - 50 - 10*j + 26 = 0 }}}
{{{ 25 + 26 - 1 - 50 = 0 }}}
{{{ 0 = 0 }}}
You can check other root