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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 (50+49x)-9900*(50-49x)-98*(50-49x)*(50+49x) = 0 .
    Question type: Equation
    Solution:Original question:
     (50 + 49 x )9900(5049 x )98(5049 x )(50 + 49 x ) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 50 + 49 x 9900(5049 x )98(5049 x )(50 + 49 x )
                                             = 50 + 49 x 9900 × 50 + 9900 × 49 x 98(5049 x )(50 + 49 x )
                                             = 50 + 49 x 495000 + 485100 x 98(5049 x )(50 + 49 x )
                                             = - 494950 + 485149 x 98(5049 x )(50 + 49 x )
                                             = - 494950 + 485149 x 98 × 50(50 + 49 x ) + 98 × 49 x (50 + 49 x )
                                             = - 494950 + 485149 x 4900(50 + 49 x ) + 4802 x (50 + 49 x )
                                             = - 494950 + 485149 x 4900 × 504900 × 49 x + 4802 x (50 + 49 x )
                                             = - 494950 + 485149 x 245000240100 x + 4802 x (50 + 49 x )
                                             = - 739950 + 245049 x + 4802 x (50 + 49 x )
                                             = - 739950 + 245049 x + 4802 x × 50 + 4802 x × 49 x
                                             = - 739950 + 245049 x + 240100 x + 235298 x x
                                             = - 739950 + 485149 x + 235298 x x
    The equation is transformed into :
      - 739950 + 485149 x + 235298 x x = 0

    The solution of the equation:
        x1≈-3.082154 , keep 6 decimal places
        x2≈1.020305 , 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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