解 四次方程

来源：百度知道 编辑：UC知道 时间：2024/06/15 09:15:03
X^4-100X^3+16241X^2+45000X-12974400=0

>> solve('X^4-100*X^3+16241*X^2+45000*X-12974400=0')

ans =

x1=25+1/6*3^(1/2)*((-24982*(10474383929921+5270760*3884526346947^(1/2))^(1/3)+(10474383929921+5270760*3884526346947^(1/2))^(2/3)+121577281)/(10474383929921+5270760*3884526346947^(1/2))^(1/3))^(1/2)+1/6*i*((149892*(10474383929921+5270760*3884526346947^(1/2))^(1/3)*((-24982*(10474383929921+5270760*3884526346947^(1/2))^(1/3)+(10474383929921+5270760*3884526346947^(1/2))^(2/3)+121577281)/(10474383929921+5270760*3884526346947^(1/2))^(1/3))^(1/2)+3*((-24982*(10474383929921+5270760*3884526346947^(1/2))^(1/3)+(10474383929921+5270760*3884526346947^(1/2))^(2/3)+121577281)/(10474383929921+5270760*3884526346947^(1/2))^(1/3))^(1/2)*(10474383929921+5270760*3884526346947^(1/2))^(2/3)+364731843*((-24982*(10474383929921+5270760*3884526346947^(1/2))^(1/3)+(10474383929921+5270760*3884526346947^(1/2))^(2/3)+121577281)/(10474383929921+5270760*3884526346947^(1/2))^(1/3))^(1/2)+13176900*3^(1/2)*(10474383929921+5