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 80*200+(80-x)(200+10x)+40[800-200+(200+10x)]-50*800 = 9000 .
    Question type: Equation
    Solution:Original question:
     80 × 200 + (80 x )(200 + 10 x ) + 40(800200 + (200 + 10 x ))50 × 800 = 9000
     Left side of the equation = 16000 + (80 x )(200 + 10 x ) + 40(800200 + (200 + 10 x ))40000
                                             = - 24000 + (80 x )(200 + 10 x ) + 40(800200 + (200 + 10 x ))
    The equation is transformed into :
      - 24000 + (80 x )(200 + 10 x ) + 40(800200 + (200 + 10 x )) = 9000
    Remove the bracket on the left of the equation:
     Left side of the equation = - 24000 + 80(200 + 10 x ) x (200 + 10 x ) + 40(800200 + (200 + 10 x ))
                                             = - 24000 + 80 × 200 + 80 × 10 x x (200 + 10 x ) + 40(800200 + (200 + 10 x ))
                                             = - 24000 + 16000 + 800 x x (200 + 10 x ) + 40(800200 + (200 + 10 x ))
                                             = - 8000 + 800 x x (200 + 10 x ) + 40(800200 + (200 + 10 x ))
                                             = - 8000 + 800 x x × 200 x × 10 x + 40(800200 + (200 + 10 x ))
                                             = - 8000 + 600 x x × 10 x + 40(800200 + (200 + 10 x ))
                                             = - 8000 + 600 x x × 10 x + 40 × 80040 × 200 + 40(200 + 10 x )
                                             = - 8000 + 600 x x × 10 x + 320008000 + 40(200 + 10 x )
                                             = 16000 + 600 x x × 10 x + 40(200 + 10 x )
                                             = 16000 + 600 x x × 10 x + 40 × 200 + 40 × 10 x
                                             = 16000 + 600 x x × 10 x + 8000 + 400 x
                                             = 24000 + 1000 x x × 10 x
    The equation is transformed into :
     24000 + 1000 x x × 10 x = 9000

    The solution of the equation:
        x1≈-13.245553 , keep 6 decimal places
        x2≈113.245553 , 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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