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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-2-2)(2x-2-2)2 = 60 .
    Question type: Equation
    Solution:Original question:
     ( x 22)(2 x 22) × 2 = 60
    Remove the bracket on the left of the equation:
     Left side of the equation = x (2 x 22) × 22(2 x 22) × 22(2 x 22) × 2
                                             = x (2 x 22) × 24(2 x 22)4(2 x 22)
                                             = x × 2 x × 2 x × 2 × 2 x × 2 × 24(2 x 22)
                                             = x × 4 x x × 4 x × 44(2 x 22)4(2 x 22)
                                             = x × 4 x 8 x 4(2 x 22)4(2 x 22)
                                             = x × 4 x 8 x 4 × 2 x + 4 × 2 + 4 × 2
                                             = x × 4 x 8 x 8 x + 8 + 84(2 x 22)
                                             = x × 4 x 16 x + 164(2 x 22)
                                             = x × 4 x 16 x + 164 × 2 x + 4 × 2 + 4
                                             = x × 4 x 16 x + 168 x + 8 + 8
                                             = x × 4 x 24 x + 32
    The equation is transformed into :
      x × 4 x 24 x + 32 = 60

    After the equation is converted into a general formula, it is converted into:
    ( x + 1 )( x - 7 )=0
    From
        x + 1 = 0
        x - 7 = 0

    it is concluded that::
        x1=-1
        x2=7
    
    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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