the general form is
A quartic equation always has 4 solutions (or roots).They may be complex or there may be duplicate solutions.
It is the highest degree of polynomial equation for which exact values of the roots can be found, by taking nth roots, and use of the normal algebraic operators.
If a_{0}=0, then one of the roots is x=0, and the other roots can be found, by dividing by x, and solving the resulting cubic equation, a_{4}x³+a_{3}x²+a_{2}x+a_{1}=0.
Otherwise, divide the equation by a_{4}, to get an equation of the form
Substitute x=ta/4, to get an equation of the form
Then find the roots somehow. (To be written.)
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