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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 2-2/(1/2+x)-2/(2+x) = 0 .
    Question type: Equation
    Solution:Original question:
     22 ÷ (1 ÷ 2 + x )2 ÷ (2 + x ) = 0
     Multiply both sides of the equation by:(1 ÷ 2 + x )
     2(1 ÷ 2 + x )22 ÷ (2 + x ) × (1 ÷ 2 + x ) = 0
    Remove a bracket on the left of the equation::
     2 × 1 ÷ 2 + 2 x 22 ÷ (2 + x ) × (1 ÷ 2 + x ) = 0
    The equation is reduced to :
     1 + 2 x 22 ÷ (2 + x ) × (1 ÷ 2 + x ) = 0
    The equation is reduced to :
      - 1 + 2 x 2 ÷ (2 + x ) × (1 ÷ 2 + x ) = 0
     Multiply both sides of the equation by:(2 + x )
      - 1(2 + x ) + 2 x (2 + x )2(1 ÷ 2 + x ) = 0
    Remove a bracket on the left of the equation:
      - 1 × 21 x + 2 x (2 + x )2(1 ÷ 2 + x ) = 0
    The equation is reduced to :
      - 21 x + 2 x (2 + x )2(1 ÷ 2 + x ) = 0
    Remove a bracket on the left of the equation:
      - 21 x + 2 x × 2 + 2 x x 2(1 ÷ 2 + x ) = 0
    The equation is reduced to :
      - 21 x + 4 x + 2 x x 2(1 ÷ 2 + x ) = 0
    The equation is reduced to :
      - 2 + 3 x + 2 x x 2(1 ÷ 2 + x ) = 0
    Remove a bracket on the left of the equation:
      - 2 + 3 x + 2 x x 2 × 1 ÷ 22 x = 0
    The equation is reduced to :
      - 2 + 3 x + 2 x x 12 x = 0
    The equation is reduced to :
      - 3 + 1 x + 2 x x = 0

    After the equation is converted into a general formula, it is converted into:
    ( 2x + 3 )( x - 1 )=0
    From
        2x + 3 = 0
        x - 1 = 0

    it is concluded that::
        x1=-
3
2
        x2=1
    
    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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