Mathematics
         
语言:中文    Language:English
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 (1+x)(2+x)(3+x) = 105 .
    Question type: Equation
    Solution:Original question:
     (1 + x )(2 + x )(3 + x ) = 105
    Remove the bracket on the left of the equation:
     Left side of the equation = 1(2 + x )(3 + x ) + x (2 + x )(3 + x )
                                             = 1 × 2(3 + x ) + 1 x (3 + x ) + x (2 + x )(3 + x )
                                             = 2(3 + x ) + 1 x (3 + x ) + x (2 + x )(3 + x )
                                             = 2 × 3 + 2 x + 1 x (3 + x ) + x (2 + x )(3 + x )
                                             = 6 + 2 x + 1 x (3 + x ) + x (2 + x )(3 + x )
                                             = 6 + 2 x + 1 x × 3 + 1 x x + x (2 + x )(3 + x )
                                             = 6 + 2 x + 3 x + 1 x x + x (2 + x )(3 + x )
                                             = 6 + 5 x + 1 x x + x (2 + x )(3 + x )
                                             = 6 + 5 x + 1 x x + x × 2(3 + x ) + x x (3 + x )
                                             = 6 + 5 x + 1 x x + x × 2 × 3 + x × 2 x
                                             = 6 + 5 x + 1 x x + x × 6 + x × 2 x + x
                                             = 6 + 11 x + 1 x x + x × 2 x + x x (3 + x )
                                             = 6 + 11 x + 1 x x + x × 2 x + x x × 3
    The equation is transformed into :
     6 + 11 x + 1 x x + x × 2 x + x x × 3 = 105

    
        x≈2.788345 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。