Question about Casio CFX-9850G Plus Calculator

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In complex number mode, how to get out?

Hi, I ws playing around with my calculator and Ive put it in a complex number mode.
When I try to solve a cubic equation, all of the solutions are in complex numbers, when they shouldnt be.
Is there anything that I can do about this to stop my answers being complex numbers when solving cubic equations?

Thanks

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"Is there anything that I can do about this to stop my answers being complex numbers when solving cubic equations?"
You are making an assumption that is unwarranted.Namely that a cubic equation must necessarily have 3 real roots. This is not the case.

Let your equation be
In complex number mode, how to get out? - 4591a1b3e15019ae25ad5813d5744ca9.png
If coefficients are complex you should expect some complex roots. Right?
If the coefficients are REAL then depending on the discriminant

you can have three cases
DELTA positive : three distinct real roots
DELTA=0 , the equation has a multiple root and all roots are REAL
DELTA negative: the equation has ONE real root and 2 complex roots that are complex conjugate of each other.

It suffices to look at the Tartaglia/Cardano expressions of the roots to know that more often than not there is going to be compIn complex number mode, how to get out? - d64abc4.jpgbr />
d64abc4.jpg










Posted on Jul 25, 2010

  • k24674 Jul 25, 2010

    Sorry here is the equation and its discriminant





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