ANSWER
[tex]D=-23[/tex]
Two solutions that are imaginary
EXPLANATION
To find the discriminant, we apply the formula:
[tex]D=b^2-4ac[/tex]
where a = coefficient of x², b = coefficient of x, c = constant.
From the given equation:
[tex]a=1;b=-1,c=6[/tex]
Therefore, the discriminant is:
[tex]\begin{gathered} (-1)^2-4(1)(6) \\ 1-24 \\ -23 \end{gathered}[/tex]
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.
