Question 736342
{{{x^2+13=4x}}}

{{{x^2-4x+13=0}}}...use quadratic formula


{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}


{{{x = (-(-4) +- sqrt( (-4)^2-4*1*13 ))/(2*1) }}}


{{{x = (4 +- sqrt( 16-52 ))/2 }}}


{{{x = (4 +- sqrt( -36 ))/2 }}}


{{{x = (4 +- sqrt( -1*36 ))/2 }}}


{{{x = (4 +- 6i)/2 }}}

solutions:


{{{x = (4 + 6i)/2 }}}

{{{x = 4/2 + 6i/2 }}}

{{{highlight(x = 2 + 3i) }}}


and


{{{x = (4 -6i)/2 }}}

{{{x = 4/2 - 6i/2 }}}

{{{highlight(x = 2 -3i) }}}