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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 (x+98)(42-x)(x+98) = 25×640×25 .
    Question type: Equation
    Solution:Original question:
     ( x + 98)(42 x )( x + 98) = 25 × 640 × 25
    Remove the bracket on the left of the equation:
     Left side of the equation = x (42 x )( x + 98) + 98(42 x )( x + 98)
                                             = x × 42( x + 98) x x ( x + 98) + 98(42 x )( x + 98)
                                             = x × 42 x + x × 42 × 98 x x ( x + 98) + 98(42 x )( x + 98)
                                             = x × 42 x + x × 4116 x x ( x + 98) + 98(42 x )( x + 98)
                                             = x × 42 x + 4116 x x x x x x × 98 + 98
                                             = x × 42 x + 4116 x x x x x x × 98 + 98
                                             = x × 42 x + 4116 x x x x x x × 98 + 4116
                                             = x × 42 x + 4116 x x x x x x × 98 + 4116
                                             = x × 42 x + 4116 x x x x x x × 98 + 4116
                                             = x × 42 x + 8232 x x x x x x × 98 + 403368
                                             = x × 42 x + 8232 x x x x x x × 98 + 403368
                                             = x × 42 x + 8232 x x x x x x × 98 + 403368
                                             = x × 42 x 1372 x x x x x x × 98 + 403368
    The equation is transformed into :
      x × 42 x 1372 x x x x x x × 98 + 403368 = 25 × 640 × 25
     Right side of the equation = 400000
    The equation is transformed into :
      x × 42 x 1372 x x x x x x × 98 + 403368 = 400000

    After the equation is converted into a general formula, there is a common factor:
    ( x - 2 )
    From
        x - 2 = 0

    it is concluded that::
        x1=2

    Solutions that cannot be obtained by factorization:
        x2≈-144.332496 , keep 6 decimal places
        x3≈-11.667504 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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