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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 80*200+(80-x)(200+20x)+40(400-2x)-50*800 = 9000 .
    Question type: Equation
    Solution:Original question:
     80 × 200 + (80 x )(200 + 20 x ) + 40(4002 x )50 × 800 = 9000
     Left side of the equation = 16000 + (80 x )(200 + 20 x ) + 40(4002 x )40000
                                             = - 24000 + (80 x )(200 + 20 x ) + 40(4002 x )
    The equation is transformed into :
      - 24000 + (80 x )(200 + 20 x ) + 40(4002 x ) = 9000
    Remove the bracket on the left of the equation:
     Left side of the equation = - 24000 + 80(200 + 20 x ) x (200 + 20 x ) + 40(4002 x )
                                             = - 24000 + 80 × 200 + 80 × 20 x x (200 + 20 x ) + 40(4002 x )
                                             = - 24000 + 16000 + 1600 x x (200 + 20 x ) + 40(4002 x )
                                             = - 8000 + 1600 x x (200 + 20 x ) + 40(4002 x )
                                             = - 8000 + 1600 x x × 200 x × 20 x + 40(4002 x )
                                             = - 8000 + 1400 x x × 20 x + 40(4002 x )
                                             = - 8000 + 1400 x x × 20 x + 40 × 40040 × 2 x
                                             = - 8000 + 1400 x x × 20 x + 1600080 x
                                             = 8000 + 1320 x x × 20 x
    The equation is transformed into :
     8000 + 1320 x x × 20 x = 9000

    The solution of the equation:
        x1≈0.766477 , keep 6 decimal places
        x2≈65.233523 , 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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