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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 (x+18.16)×34.47+(x+14.4)×205.99+(x+10.67)×206.4+(x+7.85)×331.02+(x+1.62)×303.83 = 106.76×(x+13.21)+152.77×(x+9.21)+213.23×(x+5.21)+1140.41x .
    Question type: Equation
    Solution:Original question:
     ( x +
454
25
) ×
3447
100
+ ( x +
72
5
) ×
20599
100
+ ( x +
1067
100
) ×
1032
5
+ ( x +
157
20
) ×
16551
50
+ ( x +
81
50
) ×
30383
100
=
2669
25
( x +
1321
100
) +
15277
100
( x +
921
100
) +
21323
100
( x +
521
100
) +
114041
100
x
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
3447
100
+
454
25
×
3447
100
+ ( x +
72
5
) ×
20599
100
+ ( x +
1067
100
) ×
1032
5
+ ( x +
157
20
) ×
16551
50
+ ( x +
81
50
) ×
30383
100
                                             = x ×
3447
100
+
782469
1250
+ ( x +
72
5
) ×
20599
100
+ ( x +
1067
100
) ×
1032
5
+ ( x +
157
20
) ×
16551
50
+ ( x +
81
50
) ×
30383
100
                                             =
3447
100
x +
782469
1250
+ x ×
20599
100
+
72
5
×
20599
100
+ ( x +
1067
100
) ×
1032
5
+ ( x +
157
20
) ×
16551
50
+ ( x +
81
50
)
                                             =
3447
100
x +
782469
1250
+ x ×
20599
100
+
370782
125
+ ( x +
1067
100
) ×
1032
5
+ ( x +
157
20
) ×
16551
50
+ ( x +
81
50
) ×
30383
100
                                             =
12023
50
x +
4490289
1250
+ ( x +
1067
100
) ×
1032
5
+ ( x +
157
20
) ×
16551
50
+ ( x +
81
50
) ×
30383
100
                                             =
12023
50
x +
4490289
1250
+ x ×
1032
5
+
1067
100
×
1032
5
+ ( x +
157
20
) ×
16551
50
+ ( x +
81
50
) ×
30383
100
                                             =
12023
50
x +
4490289
1250
+ x ×
1032
5
+
275286
125
+ ( x +
157
20
) ×
16551
50
+ ( x +
81
50
) ×
30383
100
                                             =
22343
50
x +
7243149
1250
+ ( x +
157
20
) ×
16551
50
+ ( x +
81
50
) ×
30383
100
                                             =
22343
50
x +
7243149
1250
+ x ×
16551
50
+
157
20
×
16551
50
+ ( x +
81
50
) ×
30383
100
                                             =
22343
50
x +
7243149
1250
+ x ×
16551
50
+
2598507
1000
+ ( x +
81
50
) ×
30383
100

    
        x≈9.327120 , 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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