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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 118320*(m-1)*(1+2+3+4+m) = 780000*m .
    Question type: Equation
    Solution:Original question:
     118320( m 1)(1 + 2 + 3 + 4 + m ) = 780000 m
    Remove the bracket on the left of the equation:
     Left side of the equation = 118320 m (1 + 2 + 3 + 4 + m )118320 × 1(1 + 2 + 3 + 4 + m )
                                             = 118320 m (1 + 2 + 3 + 4 + m )118320(1 + 2 + 3 + 4 + m )
                                             = 118320 m × 1 + 118320 m × 2 + 118320 m × 3 + 118320 m × 4
                                             = 118320 m + 236640 m + 354960 m + 473280 m + 118320 m m 118320
                                             = 1183200 m + 118320 m m 118320(1 + 2 + 3 + 4 + m )
                                             = 1183200 m + 118320 m m 118320 × 1118320 × 2118320 × 3118320
                                             = 1183200 m + 118320 m m 118320236640354960473280118320 m
                                             = 1064880 m + 118320 m m 1183200
    The equation is transformed into :
     1064880 m + 118320 m m 1183200 = 780000 m

    The solution of the equation:
        m1≈-4.587530 , keep 6 decimal places
        m2≈2.179822 , 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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