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 (x-40)【500-(x-50)÷0.1】 = 8000 .
    Question type: Equation
    Solution:Original question:
     ( x 40)(500( x 50) ÷
1
10
) = 8000
    Remove the bracket on the left of the equation:
     Left side of the equation = x (500( x 50) ÷
1
10
)40(500( x 50) ÷
1
10
)
                                             = x × 500 x ( x 50) ÷
1
10
40(500( x 50) ÷
1
10
)
                                             = 500 x x x × 10 + x × 50 × 1040(500( x 50) ÷
1
10
)
                                             = 500 x x x × 10 + x × 50040(500( x 50) ÷
1
10
)
                                             = 1000 x x x × 1040(500( x 50) ÷
1
10
)
                                             = 1000 x x x × 1040 × 500 + 40( x 50) ÷
1
10
                                             = 1000 x x x × 1020000 + 400( x 50)
                                             = 1000 x x x × 1020000 + 400 x 400 × 50
                                             = 1000 x x x × 1020000 + 400 x 20000
                                             = 1400 x x x × 1040000
    The equation is transformed into :
     1400 x x x × 1040000 = 8000

    After the equation is converted into a general formula, it is converted into:
    ( x - 60 )( x - 80 )=0
    From
        x - 60 = 0
        x - 80 = 0

    it is concluded that::
        x1=60
        x2=80
    
    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。