\u5bf9\u4e8e\u5b9e\u6570\u7cfb\u6570\u6216\u590d\u6570\u7cfb\u6570\u7684\u4e00\u5143\u56db\u6b21\u65b9\u7a0b \\(x^4+bx^3+cx^2+dx+e=0 \\) \u6709\u4ee5\u4e0b\u516c\u5f0f\u89e3\uff08\u8bc1\u660e\u8fc7\u7a0b\u6682\u65f6\u7565\u53bb\uff0c\u5148\u8bf7\u5927\u5bb6\u770b\u770b\u6709\u6ca1\u6709\u9519\u8bef)\u3002\u4ee4\uff1a<\/p>\n
\\( u=1728 b^2 e – 576 b c d + 128 c^3 – 4608 c e + 1728 d^2; \\)
\n\\( v = 48 b d – 16 c^2 – 192 e; \\)
\n\\( p =\\sqrt[3]{\\sqrt{u^2 + 4 v^3}+u} ; \\)
\n\\( q =\\sqrt{\\frac{6pb^2+\\sqrt[3]{4}p^2-16cp-2\\sqrt[3]{2}v}{p}}; \\)
\n\\(A=\\sqrt{\\frac{1}{6}(6b^2-16c-\\frac{2\\sqrt[3]{2}v}{p}+\\sqrt[3]{4}p)}; \\)
\n\\(m1=24\\sqrt{6}pb^2+8\\sqrt[6]{2}\\sqrt{3}p^2-64\\sqrt{6}cp-8\\sqrt[6]{32}\\sqrt{3}v ;\\)
\n\\(m2=24pqb ;\\)
\n\\(n1=2\\sqrt[6]{2}\\sqrt{3}bp^2+8\\sqrt{6}bcp-48\\sqrt{6}dp-2\\sqrt[6]{32}\\sqrt{3}bv ;\\)
\n\\(n2=2\\sqrt[3]{4}qb^2+8cpq-2\\sqrt[3]{2}qv; \\)
\n
\n\u539f\u65b9\u7a0b\u7684\u56db\u4e2a\u6839\u4e3a\uff1a<\/p>\n
\\(x1=\\frac{-(m1+m2)+\\sqrt{(m1+m2)^2-192pq(n1+n2)}}{96pq}; \\)
\n\\(x2=\\frac{-(m1+m2)-\\sqrt{(m1+m2)^2-192pq(n1+n2)}}{96pq}; \\)
\n\\(x3=\\frac{(m1-m2)+\\sqrt{(m1-m2)^2-192pq(-n1+n2)}}{96pq}; \\)
\n\\(x4=\\frac{(m1-m2)-\\sqrt{(m1-m2)^2-192pq(-n1+n2)}}{96pq}; \\)<\/p>\n","protected":false},"excerpt":{"rendered":"
\u5bf9\u4e8e\u5b9e\u6570\u7cfb\u6570\u6216\u590d\u6570\u7cfb\u6570\u7684\u4e00\u5143\u56db\u6b21\u65b9\u7a0b \\(x^4+bx^3+cx^2+dx+e=0 \\<\/p>\n