Question 282225
The discriminant is (racist, lol jk):

{{{(b^2 - 4ac)}}}

in your case: a = 1, b = -12, c = 34

{{{((-12)^2 - 4 * 1 * 34)}}}
{{{(144 - 136)}}}
{{{(8)}}}

Basically, after this point. If the discriminant is:
 < 0, it will have two distinct imaginary roots.  
 = 0, it will have a repeated root
 > 0, it will have two distinct real roots

your answer is >0
=> it will have two distinct real roots