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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+1)(x+2)(x+3)(x+4) = 120 .
    Question type: Equation
    Solution:Original question:
     ( x + 1)( x + 2)( x + 3)( x + 4) = 120
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x + 2)( x + 3)( x + 4) + 1( x + 2)( x + 3)( x + 4)
                                             = x x ( x + 3)( x + 4) + x × 2( x + 3)( x + 4) + 1( x + 2)( x + 3)( x + 4)
                                             = x x x ( x + 4) + x x × 3( x + 4) + x × 2( x + 3)( x + 4)
                                             = x x x x + x x x × 4 + x x × 3( x + 4)
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x
                                             = x x x x + x x x × 4 + x x × 3 x

    After the equation is converted into a general formula, it is converted into:
    ( x + 6 )( x - 1 )=0
    From
        x + 6 = 0
        x - 1 = 0

    it is concluded that::
        x1=-6
        x2=1
    
    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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