Is there an analytical method to find the roots of the following equation?
$y = -\frac{1}{2}{x}^{2}-\cos(x)+1.1$
I'm sorry for the trivial question, I'm new at math! :)
Is there an analytical method to find the roots of the following equation?
$y = -\frac{1}{2}{x}^{2}-\cos(x)+1.1$
I'm sorry for the trivial question, I'm new at math! :)
This equation does not admit an analytic solution, i.e., there is no formula in terms of "elementary functions" (giving the solution in terms of additions, substractions, multiplications, divisions, $n$-th roots, exponentials and logarithms).
Edit: I noticed that my "integral approach" won't work. Proving that this formula admits no analytic solution requires techniques that go way beyond what can be done with basic algebra.