Answer:
discriminant is zero (0)
Step-by-step explanation:
Actually, you have a double root here: {6, 6}: "two real, equal roots." That tells us immediately that the value of the discriminant was zero (0).
Answer:
The discriminant of the equation is zero.
Step-by-step explanation:
The given graph is a quadratic equation. If x = 6 is the only x-intercept of the graph, then the roots must be equal.
The quadratic equation will have two solutions. Here the two solutions are equal x = 6.
If the roots are equal, then the discriminant is zero.
The factors of the quadratic equation (x - 6) (x - 6)
= [tex]x^2 - 6x - 6x + 36[/tex]
= [tex]x^2 -12x + 36[/tex]
Discriminant = [tex]b^2 - 4ac[/tex]
Here a = 1, b = -12 and c = 36
Discriminant = [tex](-12)^{2} - 4.1.36[/tex]
= 144 - 144
= 0
Therefore, the answer is "The discriminant of the equation is zero."
