Question

How do you describe the nature of the roots of the equation `3x^2-4x=-2`?

Answer 1

The roots are imaginary / non-real.
The equation cannot be solved.

Explanation:

Work with `3x^2 -4x+2 =0`

Find the discriminant. `Delta = b^2 -4ac`

`Delta = (-4)^2 - 4(3)(2)`
`Delta = 16-24`
`Delta = -8`

`Delta < 0`

The roots are imaginary / non-real
(They do not exist, so there are no real solutions to this equation).