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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 9(x-1)(x-1)-4(2-3x)(2-3x) = 0 .
    Question type: Equation
    Solution:Original question:
     9( x 1)( x 1)4(23 x )(23 x ) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 9 x ( x 1)9 × 1( x 1)4(23 x )(23 x )
                                             = 9 x ( x 1)9( x 1)4(23 x )(23 x )
                                             = 9 x x 9 x × 19( x 1)4(23 x )(23 x )
                                             = 9 x x 9 x 9( x 1)4(23 x )(23 x )
                                             = 9 x x 9 x 9 x + 9 × 14(23 x )(23 x )
                                             = 9 x x 9 x 9 x + 94(23 x )(23 x )
                                             = 9 x x 18 x + 94(23 x )(23 x )
                                             = 9 x x 18 x + 94 × 2(23 x ) + 4 × 3 x
                                             = 9 x x 18 x + 98(23 x ) + 12 x (23 x )
                                             = 9 x x 18 x + 98 × 2 + 8 × 3 x + 12
                                             = 9 x x 18 x + 916 + 24 x + 12 x (23 x )
                                             = 9 x x + 6 x 7 + 12 x (23 x )
                                             = 9 x x + 6 x 7 + 12 x × 212 x × 3
                                             = 9 x x + 6 x 7 + 24 x 36 x x
                                             = 9 x x + 30 x 736 x x
    The equation is transformed into :
     9 x x + 30 x 736 x x = 0

    After the equation is converted into a general formula, it is converted into:
    ( 3x - 1 )( 9x - 7 )=0
    From
        3x - 1 = 0
        9x - 7 = 0

    it is concluded that::
        x1=
1
3
        x2=
7
9
    
    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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