07-401/More math-like

The first solution for $ax^{4}+bx^{3}+cx^{2}+dx+e$, as presented by Maxima (use "tex(solve(a*x^4 + b*x^3 + c*x^2 + d*x + e,x)[1])" and plug into the wiki)

$x=-{{2^{-{{3} \over {2}}}\,{\sqrt {-{{\left(18\,a^{2}\,\left({{\sqrt {-256\,a^{3}\,e^{3}-\left(-192\,a^{2}\,b\,d-128\,a^{2}\,c^{2}+144\,a\,b^{2}\,c-27\,b^{4}\right)\,e^{2}-\left(\left(144\,a^{2}\,c-6\,a\,b^{2}\right)\,d^{2}+\left(18\,b^{3}\,c-80\,a\,b\,c^{2}\right)\,d+16\,a\,c^{4}-4\,b^{2}\,c^{3}\right)\,e+27\,a^{2}\,d^{4}-\left(18\,a\,b\,c-4\,b^{3}\right)\,d^{3}-\left(b^{2}\,c^{2}-4\,a\,c^{3}\right)\,d^{2}}} \over {6\,{\sqrt {3}}\,a^{3}}}-{{a\,\left(72\,c\,e-27\,d^{2}\right)-27\,b^{2}\,e+9\,b\,c\,d-2\,c^{3}} \over {54\,a^{3}}}\right)^{{2} \over {3}}+\left(24\,a\,c-9\,b^{2}\right)\,\left({{\sqrt {-256\,a^{3}\,e^{3}-\left(-192\,a^{2}\,b\,d-128\,a^{2}\,c^{2}+144\,a\,b^{2}\,c-27\,b^{4}\right)\,e^{2}-\left(\left(144\,a^{2}\,c-6\,a\,b^{2}\right)\,d^{2}+\left(18\,b^{3}\,c-80\,a\,b\,c^{2}\right)\,d+16\,a\,c^{4}-4\,b^{2}\,c^{3}\right)\,e+27\,a^{2}\,d^{4}-\left(18\,a\,b\,c-4\,b^{3}\right)\,d^{3}-\left(b^{2}\,c^{2}-4\,a\,c^{3}\right)\,d^{2}}} \over {6\,{\sqrt {3}}\,a^{3}}}-{{a\,\left(72\,c\,e-27\,d^{2}\right)-27\,b^{2}\,e+9\,b\,c\,d-2\,c^{3}} \over {54\,a^{3}}}\right)^{{1} \over {3}}+24\,a\,e-6\,b\,d+2\,c^{2}\right)\,{\sqrt {{36\,a^{2}\,\left({{\sqrt {-256\,a^{3}\,e^{3}-\left(-192\,a^{2}\,b\,d-128\,a^{2}\,c^{2}+144\,a\,b^{2}\,c-27\,b^{4}\right)\,e^{2}-\left(\left(144\,a^{2}\,c-6\,a\,b^{2}\right)\,d^{2}+\left(18\,b^{3}\,c-80\,a\,b\,c^{2}\right)\,d+16\,a\,c^{4}-4\,b^{2}\,c^{3}\right)\,e+27\,a^{2}\,d^{4}-\left(18\,a\,b\,c-4\,b^{3}\right)\,d^{3}-\left(b^{2}\,c^{2}-4\,a\,c^{3}\right)\,d^{2}}} \over {6\,{\sqrt {3}}\,a^{3}}}-{{a\,\left(72\,c\,e-27\,d^{2}\right)-27\,b^{2}\,e+9\,b\,c\,d-2\,c^{3}} \over {54\,a^{3}}}\right)^{{2} \over {3}}+\left(9\,b^{2}-24\,a\,c\right)\,\left({{\sqrt {-256\,a^{3}\,e^{3}-\left(-192\,a^{2}\,b\,d-128\,a^{2}\,c^{2}+144\,a\,b^{2}\,c-27\,b^{4}\right)\,e^{2}-\left(\left(144\,a^{2}\,c-6\,a\,b^{2}\right)\,d^{2}+\left(18\,b^{3}\,c-80\,a\,b\,c^{2}\right)\,d+16\,a\,c^{4}-4\,b^{2}\,c^{3}\right)\,e+27\,a^{2}\,d^{4}-\left(18\,a\,b\,c-4\,b^{3}\right)\,d^{3}-\left(b^{2}\,c^{2}-4\,a\,c^{3}\right)\,d^{2}}} \over {6\,{\sqrt {3}}\,a^{3}}}-{{a\,\left(72\,c\,e-27\,d^{2}\right)-27\,b^{2}\,e+9\,b\,c\,d-2\,c^{3}} \over {54\,a^{3}}}\right)^{{1} \over {3}}+48\,a\,e-12\,b\,d+4\,c^{2}} \over {\left({{\sqrt {-256\,a^{3}\,e^{3}-\left(-192\,a^{2}\,b\,d-128\,a^{2}\,c^{2}+144\,a\,b^{2}\,c-27\,b^{4}\right)\,e^{2}-\left(\left(144\,a^{2}\,c-6\,a\,b^{2}\right)\,d^{2}+\left(18\,b^{3}\,c-80\,a\,b\,c^{2}\right)\,d+16\,a\,c^{4}-4\,b^{2}\,c^{3}\right)\,e+27\,a^{2}\,d^{4}-\left(18\,a\,b\,c-4\,b^{3}\right)\,d^{3}-\left(b^{2}\,c^{2}-4\,a\,c^{3}\right)\,d^{2}}} \over {6\,{\sqrt {3}}\,a^{3}}}-{{a\,\left(72\,c\,e-27\,d^{2}\right)-27\,b^{2}\,e+9\,b\,c\,d-2\,c^{3}} \over {54\,a^{3}}}\right)^{{1} \over {3}}}}}+\left(-216\,a^{2}\,d+108\,a\,b\,c-27\,b^{3}\right)\,\left({{\sqrt {-256\,a^{3}\,e^{3}-\left(-192\,a^{2}\,b\,d-128\,a^{2}\,c^{2}+144\,a\,b^{2}\,c-27\,b^{4}\right)\,e^{2}-\left(\left(144\,a^{2}\,c-6\,a\,b^{2}\right)\,d^{2}+\left(18\,b^{3}\,c-80\,a\,b\,c^{2}\right)\,d+16\,a\,c^{4}-4\,b^{2}\,c^{3}\right)\,e+27\,a^{2}\,d^{4}-\left(18\,a\,b\,c-4\,b^{3}\right)\,d^{3}-\left(b^{2}\,c^{2}-4\,a\,c^{3}\right)\,d^{2}}} \over {6\,{\sqrt {3}}\,a^{3}}}-{{a\,\left(72\,c\,e-27\,d^{2}\right)-27\,b^{2}\,e+9\,b\,c\,d-2\,c^{3}} \over {54\,a^{3}}}\right)^{{1} \over {3}}} \over {\left({{\sqrt {-256\,a^{3}\,e^{3}-\left(-192\,a^{2}\,b\,d-128\,a^{2}\,c^{2}+144\,a\,b^{2}\,c-27\,b^{4}\right)\,e^{2}-\left(\left(144\,a^{2}\,c-6\,a\,b^{2}\right)\,d^{2}+\left(18\,b^{3}\,c-80\,a\,b\,c^{2}\right)\,d+16\,a\,c^{4}-4\,b^{2}\,c^{3}\right)\,e+27\,a^{2}\,d^{4}-\left(18\,a\,b\,c-4\,b^{3}\right)\,d^{3}-\left(b^{2}\,c^{2}-4\,a\,c^{3}\right)\,d^{2}}} \over {6\,{\sqrt {3}}\,a^{3}}}-{{a\,\left(72\,c\,e-27\,d^{2}\right)-27\,b^{2}\,e+9\,b\,c\,d-2\,c^{3}} \over {54\,a^{3}}}\right)^{{1} \over {3}}}}}}} \over {3\,a\,\left({{36\,a^{2}\,\left({{\sqrt {-256\,a^{3}\,e^{3}-\left(-192\,a^{2}\,b\,d-128\,a^{2}\,c^{2}+144\,a\,b^{2}\,c-27\,b^{4}\right)\,e^{2}-\left(\left(144\,a^{2}\,c-6\,a\,b^{2}\right)\,d^{2}+\left(18\,b^{3}\,c-80\,a\,b\,c^{2}\right)\,d+16\,a\,c^{4}-4\,b^{2}\,c^{3}\right)\,e+27\,a^{2}\,d^{4}-\left(18\,a\,b\,c-4\,b^{3}\right)\,d^{3}-\left(b^{2}\,c^{2}-4\,a\,c^{3}\right)\,d^{2}}} \over {6\,{\sqrt {3}}\,a^{3}}}-{{a\,\left(72\,c\,e-27\,d^{2}\right)-27\,b^{2}\,e+9\,b\,c\,d-2\,c^{3}} \over {54\,a^{3}}}\right)^{{2} \over {3}}+\left(9\,b^{2}-24\,a\,c\right)\,\left({{\sqrt {-256\,a^{3}\,e^{3}-\left(-192\,a^{2}\,b\,d-128\,a^{2}\,c^{2}+144\,a\,b^{2}\,c-27\,b^{4}\right)\,e^{2}-\left(\left(144\,a^{2}\,c-6\,a\,b^{2}\right)\,d^{2}+\left(18\,b^{3}\,c-80\,a\,b\,c^{2}\right)\,d+16\,a\,c^{4}-4\,b^{2}\,c^{3}\right)\,e+27\,a^{2}\,d^{4}-\left(18\,a\,b\,c-4\,b^{3}\right)\,d^{3}-\left(b^{2}\,c^{2}-4\,a\,c^{3}\right)\,d^{2}}} \over {6\,{\sqrt {3}}\,a^{3}}}-{{a\,\left(72\,c\,e-27\,d^{2}\right)-27\,b^{2}\,e+9\,b\,c\,d-2\,c^{3}} \over {54\,a^{3}}}\right)^{{1} \over {3}}+48\,a\,e-12\,b\,d+4\,c^{2}} \over {\left({{\sqrt {-256\,a^{3}\,e^{3}-\left(-192\,a^{2}\,b\,d-128\,a^{2}\,c^{2}+144\,a\,b^{2}\,c-27\,b^{4}\right)\,e^{2}-\left(\left(144\,a^{2}\,c-6\,a\,b^{2}\right)\,d^{2}+\left(18\,b^{3}\,c-80\,a\,b\,c^{2}\right)\,d+16\,a\,c^{4}-4\,b^{2}\,c^{3}\right)\,e+27\,a^{2}\,d^{4}-\left(18\,a\,b\,c-4\,b^{3}\right)\,d^{3}-\left(b^{2}\,c^{2}-4\,a\,c^{3}\right)\,d^{2}}} \over {6\,{\sqrt {3}}\,a^{3}}}-{{a\,\left(72\,c\,e-27\,d^{2}\right)-27\,b^{2}\,e+9\,b\,c\,d-2\,c^{3}} \over {54\,a^{3}}}\right)^{{1} \over {3}}}}\right)^{{1} \over {4}}}}-{{\sqrt {{36\,a^{2}\,\left({{\sqrt {-256\,a^{3}\,e^{3}-\left(-192\,a^{2}\,b\,d-128\,a^{2}\,c^{2}+144\,a\,b^{2}\,c-27\,b^{4}\right)\,e^{2}-\left(\left(144\,a^{2}\,c-6\,a\,b^{2}\right)\,d^{2}+\left(18\,b^{3}\,c-80\,a\,b\,c^{2}\right)\,d+16\,a\,c^{4}-4\,b^{2}\,c^{3}\right)\,e+27\,a^{2}\,d^{4}-\left(18\,a\,b\,c-4\,b^{3}\right)\,d^{3}-\left(b^{2}\,c^{2}-4\,a\,c^{3}\right)\,d^{2}}} \over {6\,{\sqrt {3}}\,a^{3}}}-{{a\,\left(72\,c\,e-27\,d^{2}\right)-27\,b^{2}\,e+9\,b\,c\,d-2\,c^{3}} \over {54\,a^{3}}}\right)^{{2} \over {3}}+\left(9\,b^{2}-24\,a\,c\right)\,\left({{\sqrt {-256\,a^{3}\,e^{3}-\left(-192\,a^{2}\,b\,d-128\,a^{2}\,c^{2}+144\,a\,b^{2}\,c-27\,b^{4}\right)\,e^{2}-\left(\left(144\,a^{2}\,c-6\,a\,b^{2}\right)\,d^{2}+\left(18\,b^{3}\,c-80\,a\,b\,c^{2}\right)\,d+16\,a\,c^{4}-4\,b^{2}\,c^{3}\right)\,e+27\,a^{2}\,d^{4}-\left(18\,a\,b\,c-4\,b^{3}\right)\,d^{3}-\left(b^{2}\,c^{2}-4\,a\,c^{3}\right)\,d^{2}}} \over {6\,{\sqrt {3}}\,a^{3}}}-{{a\,\left(72\,c\,e-27\,d^{2}\right)-27\,b^{2}\,e+9\,b\,c\,d-2\,c^{3}} \over {54\,a^{3}}}\right)^{{1} \over {3}}+48\,a\,e-12\,b\,d+4\,c^{2}} \over {\left({{\sqrt {-256\,a^{3}\,e^{3}-\left(-192\,a^{2}\,b\,d-128\,a^{2}\,c^{2}+144\,a\,b^{2}\,c-27\,b^{4}\right)\,e^{2}-\left(\left(144\,a^{2}\,c-6\,a\,b^{2}\right)\,d^{2}+\left(18\,b^{3}\,c-80\,a\,b\,c^{2}\right)\,d+16\,a\,c^{4}-4\,b^{2}\,c^{3}\right)\,e+27\,a^{2}\,d^{4}-\left(18\,a\,b\,c-4\,b^{3}\right)\,d^{3}-\left(b^{2}\,c^{2}-4\,a\,c^{3}\right)\,d^{2}}} \over {6\,{\sqrt {3}}\,a^{3}}}-{{a\,\left(72\,c\,e-27\,d^{2}\right)-27\,b^{2}\,e+9\,b\,c\,d-2\,c^{3}} \over {54\,a^{3}}}\right)^{{1} \over {3}}}}} \over {12\,a}}-{{b} \over {4\,a}}$

If you think that is bad, take a look at the source of this page :-)