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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 20 = 4.32/(1+j)+4.5159/(1+j)*(1+j)+5.04/(1+j)*(1+j)*(1+j)+5.652/(1+j)*(1+j)*(1+j)*(1+j)+6.336/(1+j)*(1+j)*(1+j)*(1+j)*(1+j) .
    Question type: Equation
    Solution:Original question:
     20 =
108
25
 ÷ (1 + j ) +
45159
10000
 ÷ (1 + j ) × (1 + j ) +
126
25
 ÷ (1 + j ) × (1 + j )(1 + j ) +
1413
250
 ÷ (1 + j ) × (1 + j )
     Multiply both sides of the equation by:(1 + j )
     20(1 + j ) =
108
25
 +
45159
10000
(1 + j ) +
126
25
(1 + j )(1 + j ) +
1413
250
(1 + j )(1 + j )(1 + j ) +
792
125
(1 + j )
    Remove a bracket on the left of the equation:：
     20 × 1 + 20 j =
108
25
 +
45159
10000
(1 + j ) +
126
25
(1 + j )(1 + j ) +
1413
250
(1 + j )(1 + j )(1 + j ) +
792
125
(1 + j )
    Remove a bracket on the right of the equation:：
     20 × 1 + 20 j =
108
25
 +
45159
10000
 × 1 +
45159
10000
 j +
126
25
(1 + j )(1 + j ) +
1413
250
(1 + j )(1 + j )(1 + j )
    The equation is reduced to :
     20 + 20 j =
108
25
 +
45159
10000
 +
45159
10000
 j +
126
25
(1 + j )(1 + j ) +
1413
250
(1 + j )(1 + j )(1 + j ) +
792
125
    The equation is reduced to :
     20 + 20 j =
88359
10000
 +
45159
10000
 j +
126
25
(1 + j )(1 + j ) +
1413
250
(1 + j )(1 + j )(1 + j ) +
792
125
(1 + j )
    Remove a bracket on the right of the equation:：
     20 + 20 j =
88359
10000
 +
45159
10000
 j +
126
25
 × 1(1 + j ) +
126
25
 j (1 + j ) +
1413
250
(1 + j )(1 + j )
    The equation is reduced to :
     20 + 20 j =
88359
10000
 +
45159
10000
 j +
126
25
(1 + j ) +
126
25
 j (1 + j ) +
1413
250
(1 + j )(1 + j )(1 + j )
    Remove a bracket on the right of the equation:：
     20 + 20 j =
88359
10000
 +
45159
10000
 j +
126
25
 × 1 +
126
25
 j +
126
25
 j (1 + j ) +
1413
250
(1 + j )
    The equation is reduced to :
     20 + 20 j =
88359
10000
 +
45159
10000
 j +
126
25
 +
126
25
 j +
126
25
 j (1 + j ) +
1413
250
(1 + j )(1 + j )
    The equation is reduced to :
     20 + 20 j =
138759
10000
 +
95559
10000
 j +
126
25
 j (1 + j ) +
1413
250
(1 + j )(1 + j )(1 + j ) +
792
125
(1 + j )
    Remove a bracket on the right of the equation:：
     20 + 20 j =
138759
10000
 +
95559
10000
 j +
126
25
 j × 1 +
126
25
 j j +
1413
250
(1 + j )(1 + j )
    The equation is reduced to :
     20 + 20 j =
138759
10000
 +
95559
10000
 j +
126
25
 j +
126
25
 j j +
1413
250
(1 + j )(1 + j )(1 + j )
    The equation is reduced to :
     20 + 20 j =
138759
10000
 +
145959
10000
 j +
126
25
 j j +
1413
250
(1 + j )(1 + j )(1 + j ) +
792
125
(1 + j )
    Remove a bracket on the right of the equation:：
     20 + 20 j =
138759
10000
 +
145959
10000
 j +
126
25
 j j +
1413
250
 × 1(1 + j )(1 + j ) +
1413
250
 j
    The equation is reduced to :
     20 + 20 j =
138759
10000
 +
145959
10000
 j +
126
25
 j j +
1413
250
(1 + j )(1 + j ) +
1413
250
 j (1 + j )
    Remove a bracket on the right of the equation:：
     20 + 20 j =
138759
10000
 +
145959
10000
 j +
126
25
 j j +
1413
250
 × 1(1 + j ) +
1413
250
 j (1 + j )
    The equation is reduced to :
     20 + 20 j =
138759
10000
 +
145959
10000
 j +
126
25
 j j +
1413
250
(1 + j ) +
1413
250
 j (1 + j ) +
1413
250
    Remove a bracket on the right of the equation:：
     20 + 20 j =
138759
10000
 +
145959
10000
 j +
126
25
 j j +
1413
250
 × 1 +
1413
250
 j +
1413
250
 j
    The equation is reduced to :
     20 + 20 j =
138759
10000
 +
145959
10000
 j +
126
25
 j j +
1413
250
 +
1413
250
 j +
1413
250
 j (1 + j )
    The equation is reduced to :
     20 + 20 j =
195279
10000
 +
202479
10000
 j +
126
25
 j j +
1413
250
 j (1 + j ) +
1413
250
 j (1 + j )
    Remove a bracket on the right of the equation:：
     20 + 20 j =
195279
10000
 +
202479
10000
 j +
126
25
 j j +
1413
250
 j × 1 +
1413
250
 j j
    The equation is reduced to :
     20 + 20 j =
195279
10000
 +
202479
10000
 j +
126
25
 j j +
1413
250
 j +
1413
250
 j j +
1413
250
    The equation is reduced to :
     20 + 20 j =
195279
10000
 +
258999
10000
 j +
126
25
 j j +
1413
250
 j j +
1413
250
 j (1 + j )
    Remove a bracket on the right of the equation:：
     20 + 20 j =
195279
10000
 +
258999
10000
 j +
126
25
 j j +
1413
250
 j j +
1413
250
 j × 1

    The solution of the equation:
        j1≈-0.666001 , keep 6 decimal places
        j2≈-0.244499 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》


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