Mathematics
         
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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 4i*(1+i)*(1+i)*(1+i)*(1+i)*(1+i) = (1+i)*(1+i)*(1+i)*(1+i)*(1+i)-1 .
    Question type: Equation
    Solution:Original question:
     4 i (1 + i )(1 + i )(1 + i )(1 + i )(1 + i ) = (1 + i )(1 + i )(1 + i )(1 + i )(1 + i )1
    Remove the bracket on the left of the equation:
     Left side of the equation = 4 i × 1(1 + i )(1 + i )(1 + i )(1 + i ) + 4 i i (1 + i )(1 + i )
                                             = 4 i (1 + i )(1 + i )(1 + i )(1 + i ) + 4 i i (1 + i )(1 + i )(1 + i )
                                             = 4 i × 1(1 + i )(1 + i )(1 + i ) + 4 i i (1 + i )(1 + i )(1 + i )
                                             = 4 i (1 + i )(1 + i )(1 + i ) + 4 i i (1 + i )(1 + i )(1 + i ) + 4
                                             = 4 i × 1(1 + i )(1 + i ) + 4 i i (1 + i )(1 + i ) + 4 i
                                             = 4 i (1 + i )(1 + i ) + 4 i i (1 + i )(1 + i ) + 4 i i
                                             = 4 i × 1(1 + i ) + 4 i i (1 + i ) + 4 i i (1 + i )
                                             = 4 i (1 + i ) + 4 i i (1 + i ) + 4 i i (1 + i )(1 + i )
                                             = 4 i × 1 + 4 i i + 4 i i (1 + i ) + 4 i
                                             = 4 i + 4 i i + 4 i i (1 + i ) + 4 i i
                                             = 4 i + 4 i i + 4 i i × 1 + 4 i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i
                                             = 4 i + 4 i i + 4 i i + 4 i i i

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

    it is concluded that::
        i1=0
    Solutions that cannot be obtained by factorization:
        i2≈0.079308 , 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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