# SOLUTION: Find all real values of K for which 3t^2-4t+k=0 has imaginary roots

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 Click here to see ALL problems on Complex Numbers Question 396389: Find all real values of K for which 3t^2-4t+k=0 has imaginary rootsAnswer by solver91311(16889)   (Show Source): You can put this solution on YOUR website! Quadratics don't have imaginary roots, they have complex roots -- when they don't have real roots, that is. When the discriminant is less than zero, the roots of a quadratic are a conjugate pair of complex roots. The discriminant of is: So for your problem, the discriminant is: If the roots are to be complex: Just solve the inequality. Any value of k in the solution set will result in complex roots for your quadratic. John My calculator said it, I believe it, that settles it