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 (1000-50x)(40+10x) = 24000 .
    Question type: Equation
    Solution:Original question:
     (100050 x )(40 + 10 x ) = 24000
    Remove the bracket on the left of the equation:
     Left side of the equation = 1000(40 + 10 x )50 x (40 + 10 x )
                                             = 1000 × 40 + 1000 × 10 x 50 x (40 + 10 x )
                                             = 40000 + 10000 x 50 x (40 + 10 x )
                                             = 40000 + 10000 x 50 x × 4050 x × 10 x
                                             = 40000 + 10000 x 2000 x 500 x x
                                             = 40000 + 8000 x 500 x x
    The equation is transformed into :
     40000 + 8000 x 500 x x = 24000

    The solution of the equation:
        x1≈-1.797959 , keep 6 decimal places
        x2≈17.797959 , 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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