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 20(1+x)(1+x)-20(1+x) = 4.8 .
    Question type: Equation
    Solution:Original question:
     20(1 + x )(1 + x )20(1 + x ) =
24
5
    Remove the bracket on the left of the equation:
     Left side of the equation = 20 × 1(1 + x ) + 20 x (1 + x )20(1 + x )
                                             = 20(1 + x ) + 20 x (1 + x )20(1 + x )
                                             = 20 × 1 + 20 x + 20 x (1 + x )20(1 + x )
                                             = 20 + 20 x + 20 x (1 + x )20(1 + x )
                                             = 20 + 20 x + 20 x × 1 + 20 x x 20(1 + x )
                                             = 20 + 20 x + 20 x + 20 x x 20(1 + x )
                                             = 20 + 40 x + 20 x x 20(1 + x )
                                             = 20 + 40 x + 20 x x 20 × 120 x
                                             = 20 + 40 x + 20 x x 2020 x
                                             = 0 + 20 x + 20 x x
    The equation is transformed into :
     0 + 20 x + 20 x x =
24
5

    After the equation is converted into a general formula, it is converted into:
    ( 5x + 6 )( 5x - 1 )=0
    From
        5x + 6 = 0
        5x - 1 = 0

    it is concluded that::
        x1=-
6
5
        x2=
1
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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