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 (20-2x)(8-2x)-x(8-2x) = 56 .
    Question type: Equation
    Solution:Original question:
     (202 x )(82 x ) x (82 x ) = 56
    Remove the bracket on the left of the equation:
     Left side of the equation = 20(82 x )2 x (82 x ) x (82 x )
                                             = 20 × 820 × 2 x 2 x (82 x ) x (82 x )
                                             = 16040 x 2 x (82 x ) x (82 x )
                                             = 16040 x 2 x × 8 + 2 x × 2 x x (82 x )
                                             = 16040 x 16 x + 4 x x x (82 x )
                                             = 16056 x + 4 x x x (82 x )
                                             = 16056 x + 4 x x x × 8 + x × 2 x
                                             = 16064 x + 4 x x + x × 2 x
    The equation is transformed into :
     16064 x + 4 x x + x × 2 x = 56

    After the equation is converted into a general formula, it is converted into:
    ( x - 2 )( 3x - 26 )=0
    From
        x - 2 = 0
        3x - 26 = 0

    it is concluded that::
        x1=2
        x2=
26
3
    
    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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