# When a Quadratic Equation Does Not Have Real Roots

For any equation as ax2 + bx + c = 0 we have b2 - 4ac or DELTA smaller than zero thus having no real roots if:

- a, c > |b|
- a = b = c
- a = b and c > b for any positive b. You can swap a and c.

I have proved these but since it’s trivial, I did not write them here.