If x6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
equation?

The discriminant is equal to zero

Step-by-step explanation:

If x=6 is the only x-intercept of the graph of a quadratic equation, the it means the quadratic equation has a repeated root.

When a quadratic equation has a repeated root, it means its discriminant is zero.

This means that

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

20 feet per second

hope i

-lavira : )