Am I using the correct quadratic equation for this chemistry problem?

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Discussion Overview

The discussion revolves around the application of the quadratic equation in a chemistry problem, specifically addressing the implications of obtaining a negative value under the square root in the quadratic formula. The context is analytical chemistry, with participants exploring the validity of the equation in this scenario.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents the standard quadratic formula and questions its applicability when the discriminant is negative, suggesting that it may not work in this case.
  • Another participant argues that the quadratic equation can handle negative discriminants, indicating that the issue may lie in the input values or the physical situation being modeled.
  • A third participant questions the values used in the equation, specifically whether the coefficients are correctly assigned.
  • Another participant emphasizes that if a mathematical equation yields an impossible physical answer, the focus should be on verifying the input values or the appropriateness of the equation for the situation.

Areas of Agreement / Disagreement

Participants express differing views on the implications of a negative discriminant in the quadratic equation. There is no consensus on whether the equation is being applied correctly or if the situation is inherently flawed.

Contextual Notes

Participants highlight potential issues such as incorrect input values and the appropriateness of the quadratic equation for the specific chemistry problem, but do not resolve these concerns.

kimjoc
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For our typical quadratic equation:

x= (-b± [itex]\sqrt{b^2-4ac}[/itex])/2a


Am I missing something? I mean the value underneath the square root turns out to be a negative number, so technically this equation would not have worked right? It's from a textbook by the way. This is actually an analytical chemistry application question.

x= -6.8*10-4 ± [(6.8*10-4)2 - (4)(6.8*10-4)]0.5/(2)(1)
 
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The equation works fine with negative numbers. Sometimes this happens when the roots should be real, either a mistake was made or the situation modeled is impossible or there was rounding and the roots returned are barely complex and should be rounded back to real.
 
is b = c ?
or did you write the wrong value?

In any case, negative ARE possible and you go into complex number territory
 
If a proper math equation (which this is) is applied in a way that doesn't give a physically possible answer, that's not the math's fault and you need to look at whether or not the right numbers have been put in or whether perhaps the equation is not the right one to use in a given situation.
 

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