For what values of k will the equation have no real roots?

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The discussion revolves around determining the values of k for which the quadratic equation 2x^2 - 3x + kx = -1/2 has no real roots. Participants emphasize the importance of correctly identifying the coefficients a, b, and c in the standard form of the quadratic equation. The discriminant, calculated as b^2 - 4ac, must be less than zero for the equation to have no real roots. After several iterations and clarifications, the correct conclusion is that the discriminant leads to the inequality (k + 1)(k + 5) < 0, resulting in the solution -5 < k < -1. The thread concludes with the original poster successfully solving the problem.
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jbriggs444 said:
Normal practice around here is to leave threads open indefinitely and simply stop posting to them.

Thank you @jbriggs444
 

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