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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 -29.2/(1+(X/2))+30.67/(1+X) = 1.46 .
    Question type: Equation
    Solution:Original question:
      -
146
5
÷ (1 + ( X ÷ 2)) +
3067
100
÷ (1 + X ) =
73
50
     Multiply both sides of the equation by:(1 + ( X ÷ 2))
      -
146
5
+
3067
100
÷ (1 + X ) × (1 + ( X ÷ 2)) =
73
50
(1 + ( X ÷ 2))
    Remove a bracket on the left of the equation::
      -
146
5
+
3067
100
÷ (1 + X ) × 1 +
3067
100
÷ (1 + X ) × ( X ÷ 2) =
73
50
(1 + ( X ÷ 2))
    Remove a bracket on the right of the equation::
      -
146
5
+
3067
100
÷ (1 + X ) × 1 +
3067
100
÷ (1 + X ) × ( X ÷ 2) =
73
50
× 1 +
73
50
( X ÷ 2)
    The equation is reduced to :
      -
146
5
+
3067
100
÷ (1 + X ) +
3067
100
÷ (1 + X ) × ( X ÷ 2) =
73
50
+
73
50
( X ÷ 2)
     Multiply both sides of the equation by:(1 + X )
      -
146
5
(1 + X ) +
3067
100
+
3067
100
( X ÷ 2) =
73
50
(1 + X ) +
73
50
( X ÷ 2)(1 + X )
    Remove a bracket on the left of the equation:
      -
146
5
× 1
146
5
X +
3067
100
+
3067
100
( X ÷ 2) =
73
50
(1 + X ) +
73
50
( X ÷ 2)(1 + X )
    Remove a bracket on the right of the equation::
      -
146
5
× 1
146
5
X +
3067
100
+
3067
100
( X ÷ 2) =
73
50
× 1 +
73
50
X +
73
50
( X ÷ 2)(1 + X )
    The equation is reduced to :
      -
146
5
146
5
X +
3067
100
+
3067
100
( X ÷ 2) =
73
50
+
73
50
X +
73
50
( X ÷ 2)(1 + X )
    The equation is reduced to :
     
147
100
146
5
X +
3067
100
( X ÷ 2) =
73
50
+
73
50
X +
73
50
( X ÷ 2)(1 + X )
    Remove a bracket on the left of the equation:
     
147
100
146
5
X +
3067
100
X ÷ 2 =
73
50
+
73
50
X +
73
50
( X ÷ 2)(1 + X )
    Remove a bracket on the right of the equation::
     
147
100
146
5
X +
3067
100
X ÷ 2 =
73
50
+
73
50
X +
73
50
X ÷ 2 × (1 + X )
    The equation is reduced to :
     
147
100
146
5
X +
3067
200
X =
73
50
+
73
50
X +
73
100
X (1 + X )
    The equation is reduced to :
     
147
100
2773
200
X =
73
50
+
73
50
X +
73
100
X (1 + X )
    Remove a bracket on the right of the equation::
     
147
100
2773
200
X =
73
50
+
73
50
X +
73
100
X × 1 +
73
100
X X
    The equation is reduced to :
     
147
100
2773
200
X =
73
50
+
73
50
X +
73
100
X +
73
100
X X
    The equation is reduced to :
     
147
100
2773
200
X =
73
50
+
219
100
X +
73
100
X X

    After the equation is converted into a general formula, there is a common factor:
    ( X - 0 )
    From
        X - 0 = 0

    it is concluded that::
        X1=0, it is the incremental root of the eqution.
    Solutions that cannot be obtained by factorization:
        X2≈-21.993774 , keep 6 decimal places
    
    There are 2 solution(s).

    There is(are) 1 additive root(s) and 1 real solutions.
(Note:additive root, generated by computer, but not suitable for this equation.)


解程的详细方法请参阅:《方程的解法》



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