Mathematics
         
语言:中文    Language:English
                                Equations   
Fold
                                Unary equation
                                Multivariate equation
                                Math OP  
Unfold
                                Linear algebra      
Unfold
                                Derivative function
                                Function image
                                Hot issues
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 (4x/(4+x))/(1.69+(4x/(4+x))) = 0.7 .
    Question type: Equation
    Solution:Original question:
     (4 x ÷ (4 + x )) ÷ (
169
100
+ (4 x ÷ (4 + x ))) =
7
10
     Multiply both sides of the equation by:(
169
100
+ (4 x ÷ (4 + x )))
     (4 x ÷ (4 + x )) =
7
10
(
169
100
+ (4 x ÷ (4 + x )))
    Remove a bracket on the left of the equation::
     4 x ÷ (4 + x ) =
7
10
(
169
100
+ (4 x ÷ (4 + x )))
    Remove a bracket on the right of the equation::
     4 x ÷ (4 + x ) =
7
10
×
169
100
+
7
10
(4 x ÷ (4 + x ))
    The equation is reduced to :
     4 x ÷ (4 + x ) =
1183
1000
+
7
10
(4 x ÷ (4 + x ))
     Multiply both sides of the equation by:(4 + x )
     4 x =
1183
1000
(4 + x ) +
7
10
(4 x ÷ (4 + x ))(4 + x )
    Remove a bracket on the right of the equation::
     4 x =
1183
1000
× 4 +
1183
1000
x +
7
10
(4 x ÷ (4 + x ))(4 + x )
    The equation is reduced to :
     4 x =
1183
250
+
1183
1000
x +
7
10
(4 x ÷ (4 + x ))(4 + x )
    Remove a bracket on the right of the equation::
     4 x =
1183
250
+
1183
1000
x +
7
10
× 4 x ÷ (4 + x ) × (4 + x )
    The equation is reduced to :
     4 x =
1183
250
+
1183
1000
x +
14
5
x ÷ (4 + x ) × (4 + x )
     Multiply both sides of the equation by:(4 + x )
     4 x (4 + x ) =
1183
250
(4 + x ) +
1183
1000
x (4 + x ) +
14
5
x (4 + x )
    Remove a bracket on the left of the equation:
     4 x × 4 + 4 x x =
1183
250
(4 + x ) +
1183
1000
x (4 + x ) +
14
5
x (4 + x )
    Remove a bracket on the right of the equation::
     4 x × 4 + 4 x x =
1183
250
× 4 +
1183
250
x +
1183
1000
x (4 + x ) +
14
5
x (4 + x )
    The equation is reduced to :
     16 x + 4 x x =
2366
125
+
1183
250
x +
1183
1000
x (4 + x ) +
14
5
x (4 + x )
    Remove a bracket on the right of the equation::
     16 x + 4 x x =
2366
125
+
1183
250
x +
1183
1000
x × 4 +
1183
1000
x x +
14
5
x (4 + x )
    The equation is reduced to :
     16 x + 4 x x =
2366
125
+
1183
250
x +
1183
250
x +
1183
1000
x x +
14
5
x (4 + x )
    The equation is reduced to :
     16 x + 4 x x =
2366
125
+
1183
125
x +
1183
1000
x x +
14
5
x (4 + x )
    Remove a bracket on the right of the equation::
     16 x + 4 x x =
2366
125
+
1183
125
x +
1183
1000
x x +
14
5
x × 4 +
14
5
x x
    The equation is reduced to :
     16 x + 4 x x =
2366
125
+
1183
125
x +
1183
1000
x x +
56
5
x +
14
5
x x
    The equation is reduced to :
     16 x + 4 x x =
2366
125
+
2583
125
x +
1183
1000
x x +
14
5
x x

    
        x≈-1.188049 , 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。