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 0.1 = (0.08*(1/0.55)*(1-X))/(1-0.08*(1/0.55)*(1-X)) .
    Question type: Equation
    Solution:Original question:
     
1
10
= (
2
25
(1 ÷
11
20
)(1 X )) ÷ (1
2
25
(1 ÷
11
20
)(1 X ))
     Multiply both sides of the equation by:(1
2
25
(1 ÷
11
20
)(1 X ))
     
1
10
(1
2
25
(1 ÷
11
20
)(1 X )) = (
2
25
(1 ÷
11
20
)(1 X ))
    Remove a bracket on the left of the equation::
     
1
10
× 1
1
10
×
2
25
(1 ÷
11
20
)(1 X ) = (
2
25
(1 ÷
11
20
)(1 X ))
    Remove a bracket on the right of the equation::
     
1
10
× 1
1
10
×
2
25
(1 ÷
11
20
)(1 X ) =
2
25
(1 ÷
11
20
)(1 X )
    The equation is reduced to :
     
1
10
1
125
(1 ÷
11
20
)(1 X ) =
2
25
(1 ÷
11
20
)(1 X )
    Remove a bracket on the left of the equation:
     
1
10
1
125
× 1 ÷
11
20
× (1 X ) =
2
25
(1 ÷
11
20
)(1 X )
    Remove a bracket on the right of the equation::
     
1
10
1
125
× 1 ÷
11
20
× (1 X ) =
2
25
× 1 ÷
11
20
× (1 X )
    The equation is reduced to :
     
1
10
4
275
(1 X ) =
8
55
(1 X )
    Remove a bracket on the left of the equation:
     
1
10
4
275
× 1 +
4
275
X =
8
55
(1 X )
    Remove a bracket on the right of the equation::
     
1
10
4
275
× 1 +
4
275
X =
8
55
× 1
8
55
X
    The equation is reduced to :
     
1
10
4
275
+
4
275
X =
8
55
8
55
X
    The equation is reduced to :
     
47
550
+
4
275
X =
8
55
8
55
X

    Transposition :
     
4
275
X +
8
55
X =
8
55
47
550

    Combine the items on the left of the equation:
     
4
25
X =
8
55
47
550

    Combine the items on the right of the equation:
     
4
25
X =
3
50

    The coefficient of the unknown number is reduced to 1 :
      X =
3
50
÷
4
25
        =
3
50
×
25
4
        =
3
2
×
1
4

    We obtained :
      X =
3
8
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 0.375



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。