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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 0.39725/(1+1.69870x)+0.02729/(1+0.11723x)-0.27310/(1-0.51209x) = 0 .
    Question type: Equation
    Solution:Original question:
     
1589
4000
÷ (1 +
16987
10000
x ) +
2729
100000
÷ (1 +
11723
100000
x )
2731
10000
÷ (1
51209
100000
x ) = 0
     Multiply both sides of the equation by:(1 +
16987
10000
x )
     
1589
4000
+
2729
100000
÷ (1 +
11723
100000
x ) × (1 +
16987
10000
x )
2731
10000
÷ (1
51209
100000
x ) × (1 +
16987
10000
x ) = 0
    Remove a bracket on the left of the equation::
     
1589
4000
+
2729
100000
÷ (1 +
11723
100000
x ) × 1 +
2729
100000
÷ (1 +
11723
100000
x ) ×
16987
10000
x
2731
10000
÷ (1
51209
100000
x ) × (1 +
16987
10000
x ) = 0
    The equation is reduced to :
     
1589
4000
+
2729
100000
÷ (1 +
11723
100000
x ) +
46357523
1000000000
÷ (1 +
11723
100000
x ) × x
2731
10000
÷ (1
51209
100000
x ) × (1 +
16987
10000
x ) = 0
     Multiply both sides of the equation by:(1 +
11723
100000
x )
     
1589
4000
(1 +
11723
100000
x ) +
2729
100000
+
46357523
1000000000
x
2731
10000
÷ (1
51209
100000
x ) × (1 +
16987
10000
x )(1 +
11723
100000
x ) = 0
    Remove a bracket on the left of the equation:
     
1589
4000
× 1 +
1589
4000
×
11723
100000
x +
2729
100000
+
46357523
1000000000
x
2731
10000
÷ (1
51209
100000
x ) × (1 +
16987
10000
x )(1 +
11723
100000
x ) = 0
    The equation is reduced to :
     
1589
4000
+
18627847
400000000
x +
2729
100000
+
46357523
1000000000
x
2731
10000
÷ (1
51209
100000
x ) × (1 +
16987
10000
x )(1 +
11723
100000
x ) = 0

    The solution of the equation:
        x1≈-8.530240 , keep 6 decimal places
        x2≈-6.319113 , keep 6 decimal places
        x3≈-0.588685 , keep 6 decimal places
        x4≈0.235020 , keep 6 decimal places
        x5≈1.952782 , keep 6 decimal places
    
    There are 5 solution(s).


解程的详细方法请参阅:《方程的解法》



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