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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)/(1.5*x+1) = 0.714*x+0.274 .
    Question type: Equation
    Solution:Original question:
     (
5
2
x ) ÷ (
3
2
x + 1) =
357
500
x +
137
500
     Multiply both sides of the equation by:(
3
2
x + 1)
     (
5
2
x ) =
357
500
x (
3
2
x + 1) +
137
500
(
3
2
x + 1)
    Remove a bracket on the left of the equation::
     
5
2
x =
357
500
x (
3
2
x + 1) +
137
500
(
3
2
x + 1)
    Remove a bracket on the right of the equation::
     
5
2
x =
357
500
x ×
3
2
x +
357
500
x × 1 +
137
500
(
3
2
x + 1)
    The equation is reduced to :
     
5
2
x =
1071
1000
x x +
357
500
x +
137
500
(
3
2
x + 1)
    Remove a bracket on the right of the equation::
     
5
2
x =
1071
1000
x x +
357
500
x +
137
500
×
3
2
x +
137
500
× 1
    The equation is reduced to :
     
5
2
x =
1071
1000
x x +
357
500
x +
411
1000
x +
137
500
    The equation is reduced to :
     
5
2
x =
1071
1000
x x +
9
8
x +
137
500

    The solution of the equation:
        x1≈0.246664 , keep 6 decimal places
        x2≈1.037183 , 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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