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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 x+1/(1-x)+1/x = 13/6 .
    Question type: Equation
    Solution:Original question:
      x + 1 ÷ (1 x ) + 1 ÷ x = 13 ÷ 6
     Multiply both sides of the equation by:(1 x )
      x (1 x ) + 1 + 1 ÷ x × (1 x ) = 13 ÷ 6 × (1 x )
    Remove a bracket on the left of the equation::
      x × 1 x x + 1 + 1 ÷ x × (1 x ) = 13 ÷ 6 × (1 x )
    Remove a bracket on the right of the equation::
      x × 1 x x + 1 + 1 ÷ x × (1 x ) = 13 ÷ 6 × 113 ÷ 6 × x
    The equation is reduced to :
      x × 1 x x + 1 + 1 ÷ x × (1 x ) =
13
6
13
6
x
     Multiply both sides of the equation by: x
     1 x x x x x + 1 x + 1(1 x ) =
13
6
x
13
6
x x
    Remove a bracket on the left of the equation:
     1 x x x x x + 1 x + 1 × 11 x =
13
6
x
13
6
x x
    The equation is reduced to :
     1 x x x x x + 1 x + 11 x =
13
6
x
13
6
x x
    The equation is reduced to :
     1 x x x x x + 0 x + 1 =
13
6
x
13
6
x x

    
        x≈2.448594 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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