Considering that the quadratic equation has no solutions, the discriminant is classified as:
C. Negative.
What is the discriminant of a quadratic equation and how does it influence the solutions?
A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The discriminant is:
[tex]\Delta = b^2 - 4ac[/tex]
The solutions are as follows:
- If [tex]\mathbf{\Delta > 0}[/tex], it has 2 real solutions.
- If [tex]\mathbf{\Delta = 0}[/tex], it has 1 real solutions.
- If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.
Looking at the graph, the equation has no solutions, hence [tex]\Delta < 0[/tex] and option C is correct.
More can be learned about the discriminant of a quadratic equation at https://brainly.com/question/19776811
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