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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 1.698705*0.233847/(1+1.698705x)+0.117233*0.232825/(1+0.117233x)-0.512086*0.533327/(1-0.512086x) = 0 .
    Question type: Equation
    Solution:Original question:
     
339741
200000
×
233847
1000000
÷ (1 +
339741
200000
x ) +
117233
1000000
×
9313
40000
÷ (1 +
117233
1000000
x )
256043
500000
×
533327
1000000
÷ (1
256043
500000
x ) = 0
     Multiply both sides of the equation by:(1 +
339741
200000
x )
     
339741
200000
×
233847
1000000
+
117233
1000000
×
9313
40000
÷ (1 +
117233
1000000
x ) × (1 +
339741
200000
x )
256043
500000
×
533327
1000000
÷ (1
256043
500000
x ) × (1 +
339741
200000
x ) = 0
    Remove a bracket on the left of the equation::
     
339741
200000
×
233847
1000000
+
117233
1000000
×
9313
40000
÷ (1 +
117233
1000000
x ) × 1 +
117233
1000000
×
9313
40000
÷ (1 +
117233
1000000
x ) ×
339741
200000
x
256043
500000
= 0

    The solution of the equation:
        x1≈-8.530021 , keep 6 decimal places
        x2≈-6.318713 , keep 6 decimal places
        x3≈-0.588684 , keep 6 decimal places
        x4≈0.234991 , keep 6 decimal places
        x5≈1.952797 , 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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