Question

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

equation?
O The discriminant is 0.
O The discriminant is 6.
O The discriminant is positive.
O The discriminant is negative.

Answer 1

A. The discriminate is 0.

Explanation:

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Answer 2

The discriminant is 0.

Explanation:

we know that

In a quadratic equation of the form
`ax^(2) +bx+c=0`

The discriminant is equal to

`D=(b^(2)-4ac)`

If D=0 -----> The equation has only one real solution

If D>0 ----> The equation has two real solutions

If D<0 ----> The equation has complex solutions

In this problem

If the equation has only one intercept (x=6)

then

The equation has only one real solution

therefore

The discriminant is 0.