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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: 4 questions will be solved this time.Among them
           ☆4 equations

[ 1/4 Equation]
    Work: Find the solution of equation 4024 = 2(500-40)x+2(250-40-2x)x .
    Question type: Equation
    Solution:Original question:
     4024 = 2(50040) x + 2(250402 x ) x
    Remove the bracket on the right of the equation:
     Right side of the equation = 2 × 500 x 2 × 40 x + 2(250402 x ) x
                                               = 1000 x 80 x + 2(250402 x ) x
                                               = 920 x + 2(250402 x ) x
                                               = 920 x + 2 × 250 x 2 × 40 x 2 × 2 x x
                                               = 920 x + 500 x 80 x 4 x x
                                               = 1340 x 4 x x
    The equation is transformed into :
     4024 = 1340 x 4 x x

    the solutions is:
        x≈3.030398 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》

[ 2/4 Equation]
    Work: Find the solution of equation 2687 = 2(500-40)x+2(250-40-2x)x .
    Question type: Equation
    Solution:Original question:
     2687 = 2(50040) x + 2(250402 x ) x
    Remove the bracket on the right of the equation:
     Right side of the equation = 2 × 500 x 2 × 40 x + 2(250402 x ) x
                                               = 1000 x 80 x + 2(250402 x ) x
                                               = 920 x + 2(250402 x ) x
                                               = 920 x + 2 × 250 x 2 × 40 x 2 × 2 x x
                                               = 920 x + 500 x 80 x 4 x x
                                               = 1340 x 4 x x
    The equation is transformed into :
     2687 = 1340 x 4 x x

    the solutions is:
        x≈2.017373 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》

[ 3/4 Equation]
    Work: Find the solution of equation 1138 = 2(500-40)x+2(250-40-2x)x .
    Question type: Equation
    Solution:Original question:
     1138 = 2(50040) x + 2(250402 x ) x
    Remove the bracket on the right of the equation:
     Right side of the equation = 2 × 500 x 2 × 40 x + 2(250402 x ) x
                                               = 1000 x 80 x + 2(250402 x ) x
                                               = 920 x + 2(250402 x ) x
                                               = 920 x + 2 × 250 x 2 × 40 x 2 × 2 x x
                                               = 920 x + 500 x 80 x 4 x x
                                               = 1340 x 4 x x
    The equation is transformed into :
     1138 = 1340 x 4 x x

    the solutions is:
        x≈0.851418 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》

[ 4/4 Equation]
    Work: Find the solution of equation 1780 = 2(500-40)x+2(250-40-2x)x .
    Question type: Equation
    Solution:Original question:
     1780 = 2(50040) x + 2(250402 x ) x
    Remove the bracket on the right of the equation:
     Right side of the equation = 2 × 500 x 2 × 40 x + 2(250402 x ) x
                                               = 1000 x 80 x + 2(250402 x ) x
                                               = 920 x + 2(250402 x ) x
                                               = 920 x + 2 × 250 x 2 × 40 x 2 × 2 x x
                                               = 920 x + 500 x 80 x 4 x x
                                               = 1340 x 4 x x
    The equation is transformed into :
     1780 = 1340 x 4 x x

    the solutions is:
        x≈1.333668 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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