# Question #0e900

##### 1 Answer

In case A: Either

In case B:

In case C:

#### Explanation:

In case A, since the roots are reciprocals of one another, we must have:

If

If

In case B, first divide through by

The sum of the roots is

The product of the roots is

So we are told:

Multiply through by

So

So the quadratic is:

Multiply by

That is:

So

In case C,

We seem to be missing some additional constraint.