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 (((((((((4250+64.3x)*1.2+64.3x)*1.2+64.3x)*1.2+64.3x)*1.2+64.3x)*1.2+64.3x)*1.2+64.3x)*1.2+64.3x)*1.2+64.3x) = 26500 .
    Question type: Equation
    Solution:Original question:
     (((((((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) = 26500
    Remove the bracket on the left of the equation:
     Left side of the equation = ((((((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x
                                             = (((((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
×
6
5
+
643
10
x ×
6
5
+
643
10
x
                                             = (((((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
36
25
+
1929
25
x +
643
10
x
                                             = (((((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
36
25
+
7073
50
x
                                             = ((((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
×
36
25
+
643
10
x ×
36
25
+
7073
50
x
                                             = ((((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
216
125
+
11574
125
x +
7073
50
x
                                             = ((((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
216
125
+
58513
250
x
                                             = (((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
×
216
125
+
643
10
x ×
216
125
+
58513
250
x
                                             = (((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
1296
625
+
69444
625
x +
58513
250
x
                                             = (((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
1296
625
+
431453
1250
x
                                             = ((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
×
1296
625
+
643
10
x ×
1296
625
+
431453
1250
x
                                             = ((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
7776
3125
+
416664
3125
x +
431453
1250
x
                                             = ((((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
7776
3125
+
2990593
6250
x
                                             = (((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
×
7776
3125
+
643
10
x ×
7776
3125
+
2990593
6250
x
                                             = (((4250 +
643
10
x ) ×
6
5
+
643
10
x ) ×
6
5
+
643
10
x ) ×
46656
15625
+
2499984
15625
x +
2990593
6250
x

    
        x≈6.150715 , 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。