Question

find the discriminant of the quadratic equation and describe the number and type of solutions of the equation

Answer 1

`D=-23`

Two solutions that are imaginary

Step-by-step explanation

To find the discriminant, we apply the formula:

`D=b^2-4ac`

where a = coefficient of x², b = coefficient of x, c = constant.

From the given equation:

`a=1;b=-1,c=6`

Therefore, the discriminant is:

`\begin{gathered} (-1)^2-4(1)(6) \\ 1-24 \\ -23 \end{gathered}`

The given equation is a quadratic equation, hence, it will have two solutions but because the discriminant is less than 0, it will have two imaginary/complex solutions.