Question 944460
To find the roots of z^2+2z+10=0 we can use Quadratic Formula 

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

From the given equation we see that a =1, b = 2 and c =10

 z = (-2 + - sqrt(4-40))/ 2.1

   = ( -2 + - sqrt(-36))/ 2
 
   = ( -2 + - 6i )/2

The given equation has Complex Roots which are 

   = ( -1 + 3i ), (-1 - 3i) [Answer]