Question 865093
{{{x^2-7x+17=0}}}
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Degree two, so maybe two complex solutions.


Look at discriminant:  {{{(-7)^2-4(1)(17)=49-68=highlight_green(-19<0)}}}.
This means, two complex zeros containing imaginary components.


You can also go a little more and find those two solutions.
{{{x=(7-sqrt(-19))/2=7/2-i*sqrt(19)/2}}}
OR
{{{x=7/2+i*sqrt(19)/2}}}