Question

3x^2-2x+9=0 has:
a. two distinct real roots
b. one real root
c. no real roots
How do I know?

Answer 1

No real roots.
Take out the discriminant.
D= b^2 - 4ac

If D=0 then roots are real and unequal.
D>0, then roots are real and distinct.
D<0, no real roots.

Answer 2

Thank you so much Akshat

Answer 3

My pleasure... :)