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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-2)*(x-2)(x+1)-18*x-20 = 0 .
    Question type: Equation
    Solution:Original question:
     ( x 2)( x 2)( x + 1)18 x 20 = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x 2)( x + 1)2( x 2)( x + 1)18 x 20
                                             = x x ( x + 1) x × 2( x + 1)2( x 2)( x + 1)18 x 20
                                             = x x x + x x × 1 x × 2( x + 1)2( x 2)( x + 1)
                                             = x x x + x x × 1 x × 2 x x × 2 × 1
                                             = x x x + x x × 1 x × 2 x x × 22
                                             = x x x + x x × 1 x × 2 x 20 x 2
                                             = x x x + x x × 1 x × 2 x 20 x 2
                                             = x x x + x x × 1 x × 2 x 20 x 2
                                             = x x x + x x × 1 x × 2 x 20 x 2
                                             = x x x + x x × 1 x × 2 x 20 x 2
                                             = x x x + x x × 1 x × 2 x 22 x 2
                                             = x x x + x x × 1 x × 2 x 22 x 2
                                             = x x x + x x × 1 x × 2 x 22 x 2
                                             = x x x + x x × 1 x × 2 x 18 x 2
    The equation is transformed into :
      x x x + x x × 1 x × 2 x 18 x 2 = 0

    After the equation is converted into a general formula, there is a common factor:
    ( x + 2 )
    From
        x + 2 = 0

    it is concluded that::
        x1=-2
    Solutions that cannot be obtained by factorization:
        x2≈-1.274917 , keep 6 decimal places
        x3≈6.274917 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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