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 81×25 = (25+x)(2x+71) .
    Question type: Equation
    Solution:Original question:
     81 × 25 = (25 + x )(2 x + 71)
     Left side of the equation = 2025
    The equation is transformed into :
     2025 = (25 + x )(2 x + 71)
    Remove the bracket on the right of the equation:
     Right side of the equation = 25(2 x + 71) + x (2 x + 71)
                                               = 25 × 2 x + 25 × 71 + x (2 x + 71)
                                               = 50 x + 1775 + x (2 x + 71)
                                               = 50 x + 1775 + x × 2 x + x × 71
                                               = 121 x + 1775 + x × 2 x
    The equation is transformed into :
     2025 = 121 x + 1775 + x × 2 x

    After the equation is converted into a general formula, it is converted into:
    ( 2x + 125 )( x - 2 )=0
    From
        2x + 125 = 0
        x - 2 = 0

    it is concluded that::
        x1=-
125
2
        x2=2
    
    There are 2 solution(s).


解一元二次方程的详细方法请参阅:《一元二次方程的解法》



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