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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 (k+1)(k-3)(k-1) = 3 .
    Question type: Equation
    Solution:Original question:
     ( k + 1)( k 3)( k 1) = 3
    Remove the bracket on the left of the equation:
     Left side of the equation = k ( k 3)( k 1) + 1( k 3)( k 1)
                                             = k k ( k 1) k × 3( k 1) + 1( k 3)( k 1)
                                             = k k k k k × 1 k × 3( k 1) + 1( k 3)( k 1)
                                             = k k k k k × 1 k × 3 k + k × 3 × 1
                                             = k k k k k × 1 k × 3 k + k × 3 + 1
                                             = k k k k k × 1 k × 3 k + 3 k + 1
                                             = k k k k k × 1 k × 3 k + 3 k + 1
                                             = k k k k k × 1 k × 3 k + 3 k + 1
                                             = k k k k k × 1 k × 3 k + 3 k + 1
                                             = k k k k k × 1 k × 3 k + 2 k + 1
                                             = k k k k k × 1 k × 3 k + 2 k + 1
                                             = k k k k k × 1 k × 3 k + 2 k + 1
                                             = k k k k k × 1 k × 3 k 1 k + 1
    The equation is transformed into :
      k k k k k × 1 k × 3 k 1 k + 1 = 3

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

    it is concluded that::
        k1=0

    Solutions that cannot be obtained by factorization:
        k2≈-0.302776 , keep 6 decimal places
        k3≈3.302776 , 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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