ilaplace with rootof question

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Andrew
Andrew 2013-3-28
Hi all,
I have a question with inverse laplace transform with my function.
My function is as follows:
(s^3 + (8323294838784001*s)/8192)/(s^4 + 1872229900000*s^2 + 844381359599999923519488)
after using the ilaplace transform on it, it becomes this:
sum((r15^2*exp(r15*t))/(4*(r15^2 + 936114950000)), r15 in RootOf(s15^4 + 1872229900000*s15^2 + 844381359599999923519488, s15)) + (8323294838784001*sum(exp(r15*t)/(4*(r15^2 + 936114950000)), r15 in RootOf(s15^4 + 1872229900000*s15^2 + 844381359599999923519488, s15)))/8192
I would like to ask what is the meaning of r15 in RootOf? I assume s15 is a variable that is declared in this answer.
any insights with regards to this?

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