Question

What is the discriminant of the quadratic equation 4x2 + x + 3 = 0?

Answer 1

For this case we have that by definition, the discriminant of a quadratic equation,
`ax ^ 2 + bx + c = 0`, is given by:

`d = b ^ 2-4 (a) (c)`

If we have the following equation:

`4x ^ 2 + x + 3 = 0\\a = 4\\b = 1\\c = 3`

Then, the discriminant is given by:

`d = (1) ^ 2-4 (4) (3)\\d = 1-48\\d = -47`

So we have to:

`d <0`, two different complex roots.

Answer:

`d = -47`, two different complex roots.