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 = 1625.6+1625.6*0.03+x*0.03+(1625.6+1625.6*0.03+x*0.03)*0.0475+(1625.6+1625.6*0.03+x*0.03+(1625.6+1625.6*0.03+x*0.03)*0.0475)*0.3+x*0.0524 .
    Question type: Equation
    Solution:Original question:
      x =
8128
5
+
8128
5
×
3
100
+ x ×
3
100
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
) ×
19
400
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
) ×
19
400
) ×
3
10
+ x ×
131
2500
     Right side of the equation =
8128
5
+
6096
125
+ x ×
3
100
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
) ×
19
400
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
) ×
19
400
) ×
3
10
+ x ×
131
2500
                                               =
209296
125
+
103
1250
x + (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
) ×
19
400
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
) ×
19
400
) ×
3
10
    The equation is transformed into :
      x =
209296
125
+
103
1250
x + (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
) ×
19
400
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
) ×
19
400
) ×
3
10
    Remove the bracket on the right of the equation:
     Right side of the equation =
209296
125
+
103
1250
x +
8128
5
×
19
400
+
8128
5
×
3
100
×
19
400
+ x ×
3
100
×
19
400
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
) ×
19
400
)
                                               =
209296
125
+
103
1250
x +
9652
125
+
7239
3125
+ x ×
57
40000
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
) ×
19
400
) ×
3
10
                                               =
5480939
3125
+
3353
40000
x + (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
) ×
19
400
) ×
3
10
                                               =
5480939
3125
+
3353
40000
x +
8128
5
×
3
10
+
8128
5
×
3
100
×
3
10
+ x ×
3
100
×
3
10
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
)
                                               =
5480939
3125
+
3353
40000
x +
12192
25
+
9144
625
+ x ×
9
1000
+ (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
) ×
57
4000
                                               =
7050659
3125
+
3713
40000
x + (
8128
5
+
8128
5
×
3
100
+ x ×
3
100
) ×
57
4000
                                               =
7050659
3125
+
3713
40000
x +
8128
5
×
57
4000
+
8128
5
×
3
100
×
57
4000
+ x ×
3
100
×
57
4000
                                               =
7050659
3125
+
3713
40000
x +
14478
625
+
21717
31250
+ x ×
171
400000

    
        x≈2514.559592 , 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。