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 (180-4x)(120-6x) = 2/3*120*180 .
    Question type: Equation
    Solution:Original question:
     (1804 x )(1206 x ) = 2 ÷ 3 × 120 × 180
    Remove the bracket on the left of the equation:
     Left side of the equation = 180(1206 x )4 x (1206 x )
                                             = 180 × 120180 × 6 x 4 x (1206 x )
                                             = 216001080 x 4 x (1206 x )
                                             = 216001080 x 4 x × 120 + 4 x × 6 x
                                             = 216001080 x 480 x + 24 x x
                                             = 216001560 x + 24 x x
    The equation is transformed into :
     216001560 x + 24 x x = 2 ÷ 3 × 120 × 180
     Right side of the equation = 14400
    The equation is transformed into :
     216001560 x + 24 x x = 14400

    After the equation is converted into a general formula, it is converted into:
    ( x - 5 )( x - 60 )=0
    From
        x - 5 = 0
        x - 60 = 0

    it is concluded that::
        x1=5
        x2=60
    
    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》



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。