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 39*0.32*x/(0.32+x) = 41*0.21*x/(0.21+x) .
    Question type: Equation
    Solution:Original question:
     39 ×
8
25
x ÷ (
8
25
+ x ) = 41 ×
21
100
x ÷ (
21
100
+ x )
     Multiply both sides of the equation by:(
8
25
+ x ) ,  (
21
100
+ x )
     39 ×
8
25
x (
21
100
+ x ) = 41 ×
21
100
x (
8
25
+ x )
    Remove a bracket on the left of the equation::
     39 ×
8
25
x ×
21
100
+ 39 ×
8
25
x x = 41 ×
21
100
x (
8
25
+ x )
    Remove a bracket on the right of the equation::
     39 ×
8
25
x ×
21
100
+ 39 ×
8
25
x x = 41 ×
21
100
x ×
8
25
+ 41 ×
21
100
x x
    The equation is reduced to :
     
1638
625
x +
312
25
x x =
1722
625
x +
861
100
x x

    After the equation is converted into a general formula, there is a common factor:
    ( x - 0 )
    From
        x - 0 = 0

    it is concluded that::
        x1=0

    Solutions that cannot be obtained by factorization:
        x2≈0.034729 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《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。