作业帮四次方程X^4-100X^3+16241X^2+45000X-12974400=0
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四次方程X^4-100X^3+16241X^2+45000X-12974400=0
四次方程
X^4-100X^3+16241X^2+45000X-12974400=0
四次方程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+5270760*3884526346947^(1/2))^(1/3))/(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))^(1/2)
x2=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+5270760*3884526346947^(1/2))^(1/3))/(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))^(1/2)
x3=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*((-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+5270760*3884526346947^(1/2))^(1/3))/(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))^(1/2)
x4=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*((-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+5270760*3884526346947^(1/2))^(1/3))/(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))^(1/2)