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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 351097.95*(1+X)*(1+X)*(1+X/2) = 855044.09 .
    Question type: Equation
    Solution:Original question:
     
7021959
20
(1 + X )(1 + X )(1 + X ÷ 2) =
85504409
100
    Remove the bracket on the left of the equation:
     Left side of the equation =
7021959
20
 × 1(1 + X )(1 + X ÷ 2) +
7021959
20
 X (1 + X )(1 + X ÷ 2)
                                             =
7021959
20
(1 + X )(1 + X ÷ 2) +
7021959
20
 X (1 + X )(1 + X ÷ 2)
                                             =
7021959
20
 × 1(1 + X ÷ 2) +
7021959
20
 X (1 + X ÷ 2) +
7021959
20
 X (1 + X )(1 + X ÷ 2)
                                             =
7021959
20
(1 + X ÷ 2) +
7021959
20
 X (1 + X ÷ 2) +
7021959
20
 X (1 + X )(1 + X ÷ 2)
                                             =
7021959
20
 × 1 +
7021959
20
 X ÷ 2 +
7021959
20
 X (1 + X ÷ 2) +
7021959
20
 X (1 + X )(1 + X ÷ 2)
                                             =
7021959
20
 +
7021959
40
 X +
7021959
20
 X (1 + X ÷ 2) +
7021959
20
 X (1 + X )(1 + X ÷ 2)
                                             =
7021959
20
 +
7021959
40
 X +
7021959
20
 X × 1 +
7021959
20
 X X ÷ 2 +
7021959
20
 X
                                             =
7021959
20
 +
7021959
40
 X +
7021959
20
 X +
7021959
40
 X X +
7021959
20
 X (1 + X )(1 + X ÷ 2)
                                             =
7021959
20
 +
21065877
40
 X +
7021959
40
 X X +
7021959
20
 X (1 + X )(1 + X ÷ 2)
                                             =
7021959
20
 +
21065877
40
 X +
7021959
40
 X X +
7021959
20
 X × 1(1 + X ÷ 2) +
7021959
20
 X
                                             =
7021959
20
 +
21065877
40
 X +
7021959
40
 X X +
7021959
20
 X (1 + X ÷ 2) +
7021959
20
 X X
                                             =
7021959
20
 +
21065877
40
 X +
7021959
40
 X X +
7021959
20
 X × 1 +
7021959
20
 X X
                                             =
7021959
20
 +
21065877
40
 X +
7021959
40
 X X +
7021959
20
 X +
7021959
40
 X X +
7021959
20
                                             =
7021959
20
 +
7021959
8
 X +
7021959
40
 X X +
7021959
40
 X X +
7021959
20
 X X
                                             =
7021959
20
 +
7021959
8
 X +
7021959
40
 X X +
7021959
40
 X X +
7021959
20
 X X
                                             =
7021959
20
 +
7021959
8
 X +
7021959
40
 X X +
7021959
40
 X X +
7021959
20
 X X
    The equation is transformed into :
     
7021959
20
 +
7021959
8
 X +
7021959
40
 X X +
7021959
40
 X X +
7021959
20
 X X =
85504409
100

    
        X≈0.418987 , keep 6 decimal places    
    There are 1 solution(s).

解一元一次方程的详细方法请参阅：《一元一次方程的解法》


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