Question

The next two options are:

A: There are two real roots
B: There is one real root with a multiplicity of 2
a) A
b) B
c) Both A and B
d) Neither A nor B

Answer 1

c) Both A and B. A quadratic equation can have either two real roots or one real root with a multiplicity of 2.

Step-by-step explanation:

The given question is asking whether a quadratic equation has two real roots or one real root with a multiplicity of 2.

In general, a quadratic equation of the form ax^2 + bx + c = 0 has two real roots if the discriminant, which is b^2 - 4ac, is positive. This corresponds to option A in the question.

If the discriminant is zero, then the quadratic equation has one real root with a multiplicity of 2. This means that the root is repeated twice. This corresponds to option B in the question.

Therefore, the answer to the question is:

c) Both A and B