Can you please tell me how to find the roots of this particular equation for a ?
Interested in the maximum possible simple solution method.
I suppose that you can find the roots, breaking up into three stages.
The first is the search for some suitable change of variables, in which the equation turns into a square one.
The second is solving a quadratic equation, finding the roots.
The third is to find the originally sought roots through the replacement expression.
If the train of thought is correct, then could you tell me how to implement the first stage?
Examples are possible both in formulas and in any language.
Wolfram Alpha produces this result .
