If 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

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Subinit

The discriminant is 0

Step-by-step explanation:

In a quadratic equation, we use the quadratic formula to find the solutions

x = (-b ± √ (b2 - 4ac)) / 2a

where a, b, and c are coefficients of the equation

ax2 + bx + c = 0

Since x=6 is the only x-intercept, the equation would be

(x - 6) (x - 6) = 0

Expanding this out, we get

x2 - 12x + 36 = 0

In this equation,

a = 1

b = - 12

c = 36

Now the discriminant is the square-root part of the formula:

b2 - 4ac

Now plug in the values of a, b, and c into the discriminant.

(-12) 2 - 4 (1) (36) = 144 - 144 = 0

This number is under the square-root. The square-root of 0 is 0.