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 (x-2)×(x-2)-4×4×(x-5) = 0 .
    Question type: Equation
    Solution:Original question:
     ( x 2)( x 2)4 × 4( x 5) = 0
     Left side of the equation = ( x 2)( x 2)16( x 5)
    The equation is transformed into :
     ( x 2)( x 2)16( x 5) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x 2)2( x 2)16( x 5)
                                             = x x x × 22( x 2)16( x 5)
                                             = x x 2 x 2 x + 2 × 216( x 5)
                                             = x x 2 x 2 x + 416( x 5)
                                             = x x 4 x + 416( x 5)
                                             = x x 4 x + 416 x + 16 × 5
                                             = x x 4 x + 416 x + 80
                                             = x x 20 x + 84
    The equation is transformed into :
      x x 20 x + 84 = 0

    After the equation is converted into a general formula, it is converted into:
    ( x - 6 )( x - 14 )=0
    From
        x - 6 = 0
        x - 14 = 0

    it is concluded that::
        x1=6
        x2=14
    
    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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