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 2000+2000(1+x)+2000(1+x)(1+x) = 8720 .
    Question type: Equation
    Solution:Original question:
     2000 + 2000(1 + x ) + 2000(1 + x )(1 + x ) = 8720
    Remove the bracket on the left of the equation:
     Left side of the equation = 2000 + 2000 × 1 + 2000 x + 2000(1 + x )(1 + x )
                                             = 2000 + 2000 + 2000 x + 2000(1 + x )(1 + x )
                                             = 4000 + 2000 x + 2000(1 + x )(1 + x )
                                             = 4000 + 2000 x + 2000 × 1(1 + x ) + 2000 x (1 + x )
                                             = 4000 + 2000 x + 2000(1 + x ) + 2000 x (1 + x )
                                             = 4000 + 2000 x + 2000 × 1 + 2000 x + 2000 x (1 + x )
                                             = 4000 + 2000 x + 2000 + 2000 x + 2000 x (1 + x )
                                             = 6000 + 4000 x + 2000 x (1 + x )
                                             = 6000 + 4000 x + 2000 x × 1 + 2000 x x
                                             = 6000 + 4000 x + 2000 x + 2000 x x
                                             = 6000 + 6000 x + 2000 x x
    The equation is transformed into :
     6000 + 6000 x + 2000 x x = 8720

    After the equation is converted into a general formula, it is converted into:
    ( 5x + 17 )( 5x - 2 )=0
    From
        5x + 17 = 0
        5x - 2 = 0

    it is concluded that::
        x1=-
17
5
        x2=
2
5
    
    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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