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 = 1226+x*0.03+(1226+x*0.03)*0.0475+(1226+x*0.03+(1226+x*0.03)*0.0475)*0.15+x*0.0524 .
    Question type: Equation
    Solution:Original question:
      x = 1226 + x ×
3
100
+ (1226 + x ×
3
100
) ×
19
400
+ (1226 + x ×
3
100
+ (1226 + x ×
3
100
) ×
19
400
) ×
3
20
+ x ×
131
2500
     Right side of the equation = 1226 +
103
1250
x + (1226 + x ×
3
100
) ×
19
400
+ (1226 + x ×
3
100
+ (1226 + x ×
3
100
) ×
19
400
) ×
3
20
    The equation is transformed into :
      x = 1226 +
103
1250
x + (1226 + x ×
3
100
) ×
19
400
+ (1226 + x ×
3
100
+ (1226 + x ×
3
100
) ×
19
400
) ×
3
20
    Remove the bracket on the right of the equation:
     Right side of the equation = 1226 +
103
1250
x + 1226 ×
19
400
+ x ×
3
100
×
19
400
+ (1226 + x ×
3
100
+ (1226 + x ×
3
100
) ×
19
400
) ×
3
20
                                               = 1226 +
103
1250
x +
11647
200
+ x ×
57
40000
+ (1226 + x ×
3
100
+ (1226 + x ×
3
100
) ×
19
400
) ×
3
20
                                               =
256847
200
+
3353
40000
x + (1226 + x ×
3
100
+ (1226 + x ×
3
100
) ×
19
400
) ×
3
20
                                               =
256847
200
+
3353
40000
x + 1226 ×
3
20
+ x ×
3
100
×
3
20
+ (1226 + x ×
3
100
) ×
19
400
×
3
20
                                               =
256847
200
+
3353
40000
x +
1839
10
+ x ×
9
2000
+ (1226 + x ×
3
100
) ×
57
8000
                                               =
293627
200
+
3533
40000
x + (1226 + x ×
3
100
) ×
57
8000
                                               =
293627
200
+
3533
40000
x + 1226 ×
57
8000
+ x ×
3
100
×
57
8000
                                               =
293627
200
+
3533
40000
x +
34941
4000
+ x ×
171
800000

    
        x≈1620.332461 , 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。