Answer:
Option B is correct
The discriminant of the function is Zero
Step-by-step explanation:
Using the definition of quadratic equation:
The root of the equation can be found using the formula:
[tex]x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
The discriminant(D) in the given formula is:
[tex]D = b^2-4ac[/tex]
We have to find the discriminant of the given function.
There are following 3 cases.
Case 1.
If D > 0
then there are two real solutions.
Case 2.
If D < 0
then;
there are no real solutions.
Case 3:
If D = 0
then;
there is a real solution with multiplicity 2.
In the given graph:
You can see that the graph of the quadratic equation touches the x-axis at (5, 0)
Then;
there is a real solution with multiplicity of 2.
Therefore, The discriminant of the function is, zero
