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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 2.5*x/(1+1.5*x) = -1.333*x+0.9333 .
    Question type: Equation
    Solution:Original question:
     
5
2
x ÷ (1 +
3
2
x ) = -
1333
1000
x +
9333
10000
     Multiply both sides of the equation by:(1 +
3
2
x )
     
5
2
x = -
1333
1000
x (1 +
3
2
x ) +
9333
10000
(1 +
3
2
x )
    Remove a bracket on the right of the equation::
     
5
2
x = -
1333
1000
x × 1
1333
1000
x ×
3
2
x +
9333
10000
(1 +
3
2
x )
    The equation is reduced to :
     
5
2
x = -
1333
1000
x
3999
2000
x x +
9333
10000
(1 +
3
2
x )
    Remove a bracket on the right of the equation::
     
5
2
x = -
1333
1000
x
3999
2000
x x +
9333
10000
× 1 +
9333
10000
×
3
2
x
    The equation is reduced to :
     
5
2
x = -
1333
1000
x
3999
2000
x x +
9333
10000
+
27999
20000
x
    The equation is reduced to :
     
5
2
x =
1339
20000
x
3999
2000
x x +
9333
10000

    The solution of the equation:
        x1≈-1.523256 , keep 6 decimal places
        x2≈0.306427 , 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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