lf x= 6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?

- The discriminant is 0.
- The discriminant is 6.
- The discriminant is positive.
- The discriminant is negative.​

Respuesta :

If x= 6 is the only x-intercept of the graph of a quadratic equation then Discriminant is 0

Given :

x= 6 is the only x-intercept of the graph of a quadratic equation

for any quadratic equation , we will get two x intercepts .

x=6 is the only x intercepts . From this we can say that the other x intercept is also 6

Two x intercepts are same that is x=6

Two x intercepts are real and equal . when the x values are real and equal we can says that discriminant is 0

When discriminant is positive , then there will be 2 real and unequal x intercepts

When discriminant is negative , then there will be 2 imaginary x intercepts

If x= 6 is the only x-intercept then Discriminant is 0

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