Question

The Discriminant of a quadratic equation is -6. What types of solutions does the equation have?

Answer 1

2 complex conjugates

Explanation:

The discriminate is the part of the quadratic formula that is under the radical sign. If the discriminate is negative, that means that the solutions, both of them, are complex conjugates, aka imaginary solutions.

Answer 2

For this case we have that by definition, the discriminant of an equation is given by:

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

We have the following cases:

`D> 0:` Two different real roots

`D = 0:`Two equal real roots

`D <0:` Two different complex roots

In this case we have to:

`D = -6`,
`-6 <0` , Then we have two different complex roots.

Answer:

OPTION B