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) = 9000+10(9000-200-200+10x) .
    Question type: Equation
    Solution:Original question:
     80 × 200 + (80 x )(20010 x ) = 9000 + 10(9000200200 + 10 x )
     Left side of the equation = 16000 + (80 x )(20010 x )
    The equation is transformed into :
     16000 + (80 x )(20010 x ) = 9000 + 10(9000200200 + 10 x )
    Remove the bracket on the left of the equation:
     Left side of the equation = 16000 + 80(20010 x ) x (20010 x )
                                             = 16000 + 80 × 20080 × 10 x x (20010 x )
                                             = 16000 + 16000800 x x (20010 x )
                                             = 32000800 x x (20010 x )
                                             = 32000800 x x × 200 + x × 10 x
                                             = 320001000 x + x × 10 x
    The equation is transformed into :
     320001000 x + x × 10 x = 9000 + 10(9000200200 + 10 x )
    Remove the bracket on the right of the equation:
     Right side of the equation = 9000 + 10 × 900010 × 20010 × 200 + 10 × 10 x
                                               = 9000 + 9000020002000 + 100 x
                                               = 95000 + 100 x
    The equation is transformed into :
     320001000 x + x × 10 x = 95000 + 100 x

    The solution of the equation:
        x1≈-41.566040 , keep 6 decimal places
        x2≈151.566040 , 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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