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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-X/1.01*0.01*1.1-(X/1.01-(523.5+X/1.01*0.01*0.1))*0.5+5X/10000 = 680 .
    Question type: Equation
    Solution:Original question:
      X X ÷
101
100
×
1
100
×
11
10
( X ÷
101
100
(
1047
2
+ X ÷
101
100
×
1
100
×
1
10
)) ×
1
2
+ 5 X ÷ 10000 = 680
     Left side of the equation = X X ×
11
1010
( X ÷
101
100
(
1047
2
+ X ÷
101
100
×
1
100
×
1
10
)) ×
1
2
+
1
2000
X
                                             =
199901
202000
X ( X ÷
101
100
(
1047
2
+ X ÷
101
100
×
1
100
×
1
10
)) ×
1
2
    The equation is transformed into :
     
199901
202000
X ( X ÷
101
100
(
1047
2
+ X ÷
101
100
×
1
100
×
1
10
)) ×
1
2
= 680
    Remove the bracket on the left of the equation:
     Left side of the equation =
199901
202000
X X ÷
101
100
×
1
2
+ (
1047
2
+ X ÷
101
100
×
1
100
×
1
10
) ×
1
2
                                             =
199901
202000
X X ×
50
101
+ (
1047
2
+ X ÷
101
100
×
1
100
×
1
10
) ×
1
2
                                             =
99901
202000
X + (
1047
2
+ X ÷
101
100
×
1
100
×
1
10
) ×
1
2
                                             =
99901
202000
X +
1047
2
×
1
2
+ X ÷
101
100
×
1
100
×
1
10
×
1
2
                                             =
99901
202000
X +
1047
4
+ X ×
1
2020
                                             =
100001
202000
X +
1047
4
    The equation is transformed into :
     
100001
202000
X +
1047
4
= 680

    Transposition :
     
100001
202000
X = 680
1047
4

    Combine the items on the right of the equation:
     
100001
202000
X =
1673
4

    The coefficient of the unknown number is reduced to 1 :
      X =
1673
4
÷
100001
202000
        =
1673
4
×
202000
100001
        = 1673 ×
50500
100001

    We obtained :
      X =
84486500
100001
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 844.856551



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