Question

Which of the following statements are true of the discriminant?

A: The discriminant is b^2 – 4ac in the quadratic formula.
B: The discriminant is the denominator in the quadratic formula.
C: The discriminant is the radicand of the quadratic formula.
D: The discriminant is the value under the radical in the quadratic formula.
E: The discriminant is the value in front of the radical in the quadratic formula.

Answer 1

The answer is A,C,D

Explanation:

Answer 2

The correct options are A, C and D.

Explanation:

We know that,

The quadratic formula for the quadratic equation
`ax^2+bx+c=0` is
`x=(-b\pm √(b^2-4ac))/(2a)`.

Now, we have,

The discriminant is
`D=b^2-4ac`.

So, from the options, we get that,

The true statements for the discriminant are,

A: The discriminant is
`D=b^2-4ac` in the quadratic formula.

C: The discriminant is the radicand of the quadratic formula.

D: The discriminant is the value under the radical in the quadratic formula.