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2019-12-20 23:08:51 +0100 asked a question Solving a fifth order polynomial equation with varying coefficients

Hi, I have a fifth order polynomial in x whose coefficients depend on a certain variable k. Now, I want to find the real roots of that polynomial for each value of k, say from 0.1 to 2 in steps of 0.05 and after finding the roots, I need to plot the corresponding root versus the k from which it was obtained. How can I do that? If anyone could help, that would be highly appreciable.

I have already tried to find the roots for each value of k and then got a set of values for k and x then plotted it. But that is quite cumbersome and it has one disadvantage. If any one of the roots changes value then I have to repeat the whole process all over again. If all of the things could be included in a single program, that would be very helpful.

2019-12-20 23:08:51 +0100 asked a question Hi, I have a fifth order polynomial in x whose coefficients depend on a certain variable k. Now, I want to find the real roots of that polynomial for each value of k.

Hi, I have a fifth order polynomial in x whose coefficients depend on a certain variable k. Now, I want to find the real roots of that polynomial for each value of k, say from 0.1 to 2 in steps of 0.05 and after finding the roots, I need to plot the corresponding root versus the k from which it was obtained. How can I do that? If anyone could help, that would be highly appreciable.

I have already tried to find the roots for each value of k and then got a set of roots. Then I chose the real root. I repeated this process 20 times to get 20 different roots. But this process is very lengthy. Suppose the value of one of the coefficients is changed, then I need to do the thing all over again. So i need to have a single program, where I can include all of that.