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 (3a-3)(1+(1/3)a) = 2a .
    Question type: Equation
    Solution:Original question:
     (3 a 3)(1 + (1 ÷ 3) a ) = 2 a
    Remove the bracket on the left of the equation:
     Left side of the equation = 3 a (1 + (1 ÷ 3) a )3(1 + (1 ÷ 3) a )
                                             = 3 a × 1 + 3 a (1 ÷ 3) a 3(1 + (1 ÷ 3) a )
                                             = 3 a + 3 a (1 ÷ 3) a 3(1 + (1 ÷ 3) a )
                                             = 3 a + 3 a × 1 ÷ 3 × a 3(1 + (1 ÷ 3) a )
                                             = 3 a + 1 a a 3(1 + (1 ÷ 3) a )
                                             = 3 a + 1 a a 3 × 13(1 ÷ 3) a
                                             = 3 a + 1 a a 33(1 ÷ 3) a
                                             = 3 a + 1 a a 33 × 1 ÷ 3 × a
                                             = 3 a + 1 a a 31 a
                                             = 2 a + 1 a a 3
    The equation is transformed into :
     2 a + 1 a a 3 = 2 a

    After the equation is converted into a general formula, it is converted into:
    ( a + √3 )( a - √3 )=0
    From
        a + √3 = 0
        a - √3 = 0

    it is concluded that::
        a1=-√3
        a2=√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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