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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/(1001+x)-1/(1+x)) = 0.0001 .
    Question type: Equation
    Solution:Original question:
      x (1 ÷ (1001 + x ) − 1 ÷ (1 + x )) =
1
10000
    Remove a bracket on the left of the equation:：
      x × 1 ÷ (1001 + x ) − x × 1 ÷ (1 + x ) =
1
10000
     Multiply both sides of the equation by:(1001 + x )
      x × 1 − x × 1 ÷ (1 + x ) × (1001 + x ) =
1
10000
(1001 + x )
    Remove a bracket on the left of the equation:
      x × 1 − x × 1 ÷ (1 + x ) × 1001 − x × 1 ÷ (1 + x ) × x =
1
10000
(1001 + x )
    Remove a bracket on the right of the equation:：
      x × 1 − x × 1 ÷ (1 + x ) × 1001 − x × 1 ÷ (1 + x ) × x =
1
10000
 × 1001 +
1
10000
 x
    The equation is reduced to :
      x × 1 − x × 1001 ÷ (1 + x ) − x × 1 ÷ (1 + x ) × x =
1001
10000
 +
1
10000
 x
     Multiply both sides of the equation by:(1 + x )
     1 x (1 + x ) − x × 1001 − x × 1 x =
1001
10000
(1 + x ) +
1
10000
 x (1 + x )
    Remove a bracket on the left of the equation:
     1 x × 1 + 1 x x − x × 1001 − x × 1 x =
1001
10000
(1 + x ) +
1
10000
 x (1 + x )
    Remove a bracket on the right of the equation:：
     1 x × 1 + 1 x x − x × 1001 − x × 1 x =
1001
10000
 × 1 +
1001
10000
 x +
1
10000
 x (1 + x )
    The equation is reduced to :
     1 x + 1 x x − x × 1001 − x × 1 x =
1001
10000
 +
1001
10000
 x +
1
10000
 x (1 + x )
    The equation is reduced to :
      - 1000 x + 1 x x − x × 1 x =
1001
10000
 +
1001
10000
 x +
1
10000
 x (1 + x )
    Remove a bracket on the right of the equation:：
      - 1000 x + 1 x x − x × 1 x =
1001
10000
 +
1001
10000
 x +
1
10000
 x × 1 +
1
10000
 x x
    The equation is reduced to :
      - 1000 x + 1 x x − x × 1 x =
1001
10000
 +
1001
10000
 x +
1
10000
 x +
1
10000
 x x
    The equation is reduced to :
      - 1000 x + 1 x x − x × 1 x =
1001
10000
 +
501
5000
 x +
1
10000
 x x

    
        x1=0, it is the incremental root of the eqution.    
    There are 1 solution(s).
    There is(are) 1 additive root(s) and 0 real solutions.(Note:additive root, generated by computer, but not suitable for this equation.)


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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