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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^(10-6)*(x^2-1)*(x^4-10*x^2+10-5) = 0 .
    Question type: Equation
    Solution:
    After the equation is converted into a general formula, there is a common factor:
    ( x + 1 )( x - 0 )( x - 0 )( x - 1 )
    From
        x + 1 = 0
        x - 0 = 0
        x - 0 = 0
        x - 1 = 0

    it is concluded that::
        x1=-1
        x2=0
        x3=0
        x4=1

    Solutions that cannot be obtained by factorization:
        x5≈-3.077684 , keep 6 decimal places
        x6≈-0.726543 , keep 6 decimal places
        x7≈0.726543 , keep 6 decimal places
        x8≈3.077684 , keep 6 decimal places
    
    There are 8 solution(s).


解程的详细方法请参阅:《方程的解法》




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