For the following equation, state the value of the discriminant and then describe the nature of the solutions.

Question

6x^2-3x+2=0

I came up with the value of the discriminant as 35.

Then I came up with it has two real solutions.

Is this correct?

Answer 1

(-3)^2 - 4*6*2

9 - 48

negative

so no real solutions

Answer 2

The only problem is with the way you wrote it out is that according to my choices for the solutions is:
The equation has one real solution.
The equation has two imaginary solutions.
The equation has two real solutions.

It doesn't give me the option for no real solutions :(

Answer 3

Damon said there are no REAL solutions...that would leave your option of the imaginary solutions...

Answer 4

7.7