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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 250(32+8x+xx) = (-529+22x+xx)(-529+22x+xx) .
    Question type: Equation
    Solution:Original question:
     250(32 + 8 x + x x ) = ( - 529 + 22 x + x x )( - 529 + 22 x + x x )
    Remove the bracket on the left of the equation:
     Left side of the equation = 250 × 32 + 250 × 8 x + 250 x x
                                             = 8000 + 2000 x + 250 x x
    The equation is transformed into :
     8000 + 2000 x + 250 x x = ( - 529 + 22 x + x x )( - 529 + 22 x + x x )
    Remove the bracket on the right of the equation:
     Right side of the equation = - 529( - 529 + 22 x + x x ) + 22 x ( - 529 + 22 x + x x ) + x x ( - 529 + 22 x + x x )
                                               = 529 × 529529 × 22 x 529 x x + 22 x ( - 529 + 22 x + x x ) + x
                                               = 27984111638 x 529 x x + 22 x ( - 529 + 22 x + x x ) + x x ( - 529 + 22 x + x x )
                                               = 27984111638 x 529 x x 22 x × 529 + 22 x × 22
                                               = 27984111638 x 529 x x 11638 x + 484 x x + 22
                                               = 27984123276 x 529 x x + 484 x x + 22 x x
                                               = 27984123276 x 529 x x + 484 x x + 22 x x
    The equation is transformed into :
     8000 + 2000 x + 250 x x = 27984123276 x 529 x x + 484 x x + 22 x x

    The solution of the equation:
        x1≈-47.647157 , keep 6 decimal places
        x2≈-27.517245 , keep 6 decimal places
        x3≈9.626547 , keep 6 decimal places
        x4≈21.537855 , keep 6 decimal places
    
    There are 4 solution(s).


解程的详细方法请参阅:《方程的解法》



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