Came across this problem on a math competition.

The equation has two imaginary roots. Which of the following is a true statement about the value of ?

a)

b)

c)

d)

I'm having a hard time setting up a condition for k.

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- Sep 28th 2013, 02:08 PMReneGCompetition Question with Imaginary Roots
Came across this problem on a math competition.

The equation has two imaginary roots. Which of the following is a true statement about the value of ?

a)

b)

c)

d)

I'm having a hard time setting up a condition for k. - Sep 28th 2013, 02:27 PMPlatoRe: Competition Question with Imaginary Roots
- Sep 28th 2013, 03:56 PMShadowKnight8702Re: Competition Question with Imaginary Roots
I'm going to guess and say that the problem stated somewhere that k was an integer

- Sep 28th 2013, 04:02 PMHallsofIvyRe: Competition Question with Imaginary Roots
Surely the problem is not exactly as given here. The equation can have

**complex**roots but cannot have**imaginary**roots. - Sep 28th 2013, 04:22 PMPlatoRe: Competition Question with Imaginary Roots
Whereas you are absolutely correct, I was part of the

*mathematics contest community*long enough to know many in the mathematics education community use imaginary number and complex number interchangeably. I assure you it is futile to even try to correct them. Thus having seen that this is an old contest question, I assumed the worst.