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

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Homework Help Overview

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 are analyzing the discriminant of the quadratic equation to establish conditions on k.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to identify the correct coefficients a, b, and c from the quadratic equation and are discussing the implications of the discriminant being less than zero. There are various interpretations of the equation and its components, leading to questions about the accuracy of the values assigned to b and c.

Discussion Status

There is ongoing exploration of the discriminant and its implications for the values of k. Some participants have pointed out potential errors in the original setup, while others are clarifying the standard form of the quadratic equation. Multiple interpretations of the problem are being considered, and productive guidance has been offered regarding the discriminant.

Contextual Notes

Participants are working under the constraints of homework guidelines, which may limit the information they can share or the methods they can use. There is also a focus on ensuring the correct formulation of the quadratic equation before proceeding with the analysis.

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Normal practice around here is to leave threads open indefinitely and simply stop posting to them.
 
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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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