Considering the discriminant of zero for a quadratic equation, the correct option is given by:
C. It has one real solutions.
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], and it is a perfect square, it has 2 rational solutions.
- If [tex]\mathbf{\Delta > 0}[/tex], and it is not a perfect square, it has 2 irrational solutions.
- If [tex]\mathbf{\Delta = 0}[/tex], it has 1 rational solutions.
- If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.
Discriminant of zero is [tex]\Delta = 0[/tex], hence option C is correct.
More can be learned about discriminants at https://brainly.com/question/19776811
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