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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 1-(1+X)(1+X)(1+X)(1+X)(1+X)(1+X)(1+X)(1+X)(1+X)(1+X)(1+X)(1+X) = 11.72X .
    Question type: Equation
    Solution:Original question:
     1(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X ) =
293
25
X
    Remove the bracket on the left of the equation:
     Left side of the equation = 11(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )
                                             = 11 × 1(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )
                                             = 11(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )
                                             = 11 × 1(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )
                                             = 11(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )1
                                             = 11 × 1(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )1
                                             = 11(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )1 X
                                             = 11 × 1(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )1 X
                                             = 11(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )1 X (1 + X )
                                             = 11 × 1(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )1 X (1 + X )
                                             = 11(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )1 X (1 + X )(1 + X )
                                             = 11 × 1(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )1 X (1 + X )(1 + X )
                                             = 11(1 + X )(1 + X )(1 + X )(1 + X )(1 + X )1 X (1 + X )(1 + X )(1 + X )
                                             = 11 × 1(1 + X )(1 + X )(1 + X )(1 + X )1 X (1 + X )(1 + X )(1 + X )
                                             = 11(1 + X )(1 + X )(1 + X )(1 + X )1 X (1 + X )(1 + X )(1 + X )(1 + X )
                                             = 11 × 1(1 + X )(1 + X )(1 + X )1 X (1 + X )(1 + X )(1 + X )1
                                             = 11(1 + X )(1 + X )(1 + X )1 X (1 + X )(1 + X )(1 + X )1 X
                                             = 11 × 1(1 + X )(1 + X )1 X (1 + X )(1 + X )1 X (1 + X )
                                             = 11(1 + X )(1 + X )1 X (1 + X )(1 + X )1 X (1 + X )(1 + X )
                                             = 11 × 1(1 + X )1 X (1 + X )1 X (1 + X )(1 + X )1
                                             = 11(1 + X )1 X (1 + X )1 X (1 + X )(1 + X )1 X
                                             = 11 × 11 X 1 X (1 + X )1 X (1 + X )(1 + X )
                                             = 111 X 1 X (1 + X )1 X (1 + X )(1 + X )1
                                             = 01 X 1 X (1 + X )1 X (1 + X )(1 + X )1 X
                                             = 01 X 1 X × 11 X X 1 X (1 + X )

    After the equation is converted into a general formula, there is a common factor:
    ( X - 0 )
    From
        X - 0 = 0

    it is concluded that::
        X1=0

    Solutions that cannot be obtained by factorization:
        X2≈-2.320853 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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