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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 (2000/x+1)*2-100 = (2000/(x+1)+1)*2+100 .
    Question type: Equation
    Solution:Original question:
     (2000 ÷ x + 1) × 2100 = (2000 ÷ ( x + 1) + 1) × 2 + 100
    Remove a bracket on the left of the equation::
     2000 ÷ x × 2 + 1 × 2100 = (2000 ÷ ( x + 1) + 1) × 2 + 100
    Remove a bracket on the right of the equation::
     2000 ÷ x × 2 + 1 × 2100 = 2000 ÷ ( x + 1) × 2 + 1 × 2 + 100
    The equation is reduced to :
     4000 ÷ x + 2100 = 4000 ÷ ( x + 1) + 2 + 100
    The equation is reduced to :
     4000 ÷ x 98 = 4000 ÷ ( x + 1) + 102
     Multiply both sides of the equation by: x  ,  ( x + 1)
     4000( x + 1)98 x ( x + 1) = 4000 x + 102 x ( x + 1)
    Remove a bracket on the left of the equation:
     4000 x + 4000 × 198 x ( x + 1) = 4000 x + 102 x ( x + 1)
    Remove a bracket on the right of the equation::
     4000 x + 4000 × 198 x ( x + 1) = 4000 x + 102 x x + 102 x × 1
    The equation is reduced to :
     4000 x + 400098 x ( x + 1) = 4000 x + 102 x x + 102 x
    The equation is reduced to :
     4000 x + 400098 x ( x + 1) = 4102 x + 102 x x
    Remove a bracket on the left of the equation:
     4000 x + 400098 x x 98 x × 1 = 4102 x + 102 x x
    The equation is reduced to :
     4000 x + 400098 x x 98 x = 4102 x + 102 x x
    The equation is reduced to :
     3902 x + 400098 x x = 4102 x + 102 x x

    After the equation is converted into a general formula, it is converted into:
    ( x + 5 )( x - 4 )=0
    From
        x + 5 = 0
        x - 4 = 0

    it is concluded that::
        x1=-5
        x2=4
    
    There are 2 solution(s).


解一元二次方程的详细方法请参阅:《一元二次方程的解法》



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