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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 2.5x÷(1+1.5x) = 3.78x-1.11 .
    Question type: Equation
    Solution:Original question:
     
5
2
x ÷ (1 +
3
2
x ) =
189
50
x
111
100
     Multiply both sides of the equation by:(1 +
3
2
x )
     
5
2
x =
189
50
x (1 +
3
2
x )
111
100
(1 +
3
2
x )
    Remove a bracket on the right of the equation::
     
5
2
x =
189
50
x × 1 +
189
50
x ×
3
2
x
111
100
(1 +
3
2
x )
    The equation is reduced to :
     
5
2
x =
189
50
x +
567
100
x x
111
100
(1 +
3
2
x )
    Remove a bracket on the right of the equation::
     
5
2
x =
189
50
x +
567
100
x x
111
100
× 1
111
100
×
3
2
x
    The equation is reduced to :
     
5
2
x =
189
50
x +
567
100
x x
111
100
333
200
x
    The equation is reduced to :
     
5
2
x =
423
200
x +
567
100
x x
111
100

    The solution of the equation:
        x1≈-0.409806 , keep 6 decimal places
        x2≈0.477707 , 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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