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On line Solution of Monovariate Equation:
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    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 (15*x-50)/1.1+(20.5*x-59)*(1/1.21+1/1.331+1/1.4641)+(16*x-28)/1.61051-6000 = 0 .
    Question type: Equation
    Solution:Original question:
     (15 x − 50) ÷
11
10
+ (
41
2
x − 59)(1 ÷
121
100
+ 1 ÷
1331
1000
+ 1 ÷
14641
10000
) + (16 x − 28) ÷
161051
100000
− 6000 = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 15 x ×
10
11
− 50 ×
10
11
+ (
41
2
x − 59)(1 ÷
121
100
+ 1 ÷
1331
1000
+ 1 ÷
14641
10000
) + (16 x − 28) ×
100000
161051
− 6000
                                             =
150
11
x −
500
11
+ (
41
2
x − 59)(1 ÷
121
100
+ 1 ÷
1331
1000
+ 1 ÷
14641
10000
) + (16 x − 28) ×
100000
161051
− 6000
                                             =
150
11
x −
66500
11
+ (
41
2
x − 59)(1 ÷
121
100
+ 1 ÷
1331
1000
+ 1 ÷
14641
10000
) + (16 x − 28) ×
100000
161051
                                             =
150
11
x −
66500
11
+
41
2
x (1 ÷
121
100
+ 1 ÷
1331
1000
+ 1 ÷
14641
10000
) − 59(1 ÷
121
100
+ 1 ÷
1331
1000
+ 1 ÷
14641
10000
) + (16 x − 28) ×
100000
161051
                                             =
150
11
x −
66500
11
+
41
2
x × 1 ÷
121
100
+
41
2
x × 1 ÷
1331
1000
+
41
2
                                             =
150
11
x −
66500
11
+
2050
121
x +
20500
1331
x +
205000
14641
x − 59(1 ÷
121
100
+ 1 ÷
1331
1000
+ 1 ÷
14641
10000
) + (16 x − 28)
                                             =
878200
14641
x −
66500
11
− 59(1 ÷
121
100
+ 1 ÷
1331
1000
+ 1 ÷
14641
10000
) + (16 x − 28) ×
100000
161051
                                             =
878200
14641
x −
66500
11
− 59 × 1 ÷
121
100
− 59 × 1 ÷
1331
1000
− 59 × 1 ÷
14641
10000
                                             =
878200
14641
x −
66500
11
−
5900
121
−
59000
1331
−
590000
14641
+ (16 x − 28) ×
100000
161051

    
        x≈88.622618 , 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》



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