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roots of cubic equation

Unread postPosted: 25 Oct 2014, 11:47
by jmat
hello, excuse my English ....
I've been trying to solve a cubic equation of the form -x^3 -6*k*x^2 +6*k*x +7k^3 obtaining the roots of x as a function of k = constant ;roots should be x = 4.14; x = 2.52; x = -0.66 but did not obtain the Nspire

thank you

Re: roots of cubic equation

Unread postPosted: 25 Oct 2014, 18:11
by critor
So you are suggesting that the roots are keeping the same values for every value of k.

Indeed, the TI-Nspire doesn't manage to simplify the roots expressions by removing the k occurrences.

But it seems totally normal, as if we assign different values to k, we clearly see that the roots values do change.
Image

So, something's wrong in your first post.

Re: roots of cubic equation

Unread postPosted: 25 Oct 2014, 22:00
by Bisam
S'il y a un k^2*x à la place du k*x, alors toutes les solutions seront proportionnelles à k... avec le même coeff.
Mais là, ce n'est pas le cas.

Re: roots of cubic equation

Unread postPosted: 27 Oct 2014, 20:59
by jmat
thank you