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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 （1+0.12）/2(1+X/2) = (1+0.11/2)*(1+0.11/2) .
    Question type: Equation
    Solution:Original question:
     (1 +
3
25
) ÷ 2 × (1 + X ÷ 2) = (1 +
11
100
 ÷ 2)(1 +
11
100
 ÷ 2)
    Remove the bracket on the left of the equation:
     Left side of the equation = 1 ×
1
2
(1 + X ÷ 2) +
3
25
 ×
1
2
(1 + X ÷ 2)
                                             =
1
2
(1 + X ÷ 2) +
3
50
(1 + X ÷ 2)
                                             =
1
2
 × 1 +
1
2
 X ÷ 2 +
3
50
(1 + X ÷ 2)
                                             =
1
2
 +
1
4
 X +
3
50
(1 + X ÷ 2)
                                             =
1
2
 +
1
4
 X +
3
50
 × 1 +
3
50
 X ÷ 2
                                             =
1
2
 +
1
4
 X +
3
50
 +
3
100
 X
                                             =
14
25
 +
7
25
 X
    The equation is transformed into :
     
14
25
 +
7
25
 X = (1 +
11
100
 ÷ 2)(1 +
11
100
 ÷ 2)
    Remove the bracket on the right of the equation:
     Right side of the equation = 1(1 +
11
100
 ÷ 2) +
11
100
 ÷ 2 × (1 +
11
100
 ÷ 2)
                                               = 1(1 +
11
100
 ÷ 2) +
11
200
(1 +
11
100
 ÷ 2)
                                               = 1 × 1 + 1 ×
11
100
 ÷ 2 +
11
200
(1 +
11
100
 ÷ 2)
                                               = 1 +
11
200
 +
11
200
(1 +
11
100
 ÷ 2)
                                               =
211
200
 +
11
200
(1 +
11
100
 ÷ 2)
                                               =
211
200
 +
11
200
 × 1 +
11
200
 ×
11
100
 ÷ 2
                                               =
211
200
 +
11
200
 +
121
40000
                                               =
44521
40000
    The equation is transformed into :
     
14
25
 +
7
25
 X =
44521
40000

    Transposition :
     
7
25
 X =
44521
40000
 −
14
25

    Combine the items on the right of the equation:
     
7
25
 X =
22121
40000

    The coefficient of the unknown number is reduced to 1 :
      X =
22121
40000
 ÷
7
25
        =
22121
40000
 ×
25
7
        =
22121
1600
 ×
1
7

    We obtained :
      X =
22121
11200
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 1.975089



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