**Problem:**

Consider the quadratic equation

where a, b, and denote by , its roots. Prove that if is a real number then or .

**Proof:**

Let . Then, and

.

If , the roots of the equation are

and it is obvious that is a real number.

If ,, the roots of the equation are

hence, , as claimed.

**QED.**

More later,

Nalin Pithwa

### Like this:

Like Loading...

*Related*