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 ?
I'm having a hard time setting up a condition for k.
I am puzzled by this question because the correct answer is
Use the discriminate, or .
The closest answer is c). But that is not the exact answer.
Surely the problem is not exactly as given here. The equation can have complex roots but cannot have 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.