Checking the formulas given for the roots of a quartic equation using WolframAlpha

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I know that there is a quartic formula, $ax^4+bx^3+cx^2+dx+e$, and just tried to plug it int into WolframAlpha. It gave me this huge formula for each root. Is there any way to test if it's actually right, without doing it by hand? Thanks in advance.

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You can see the derivation of the formula here