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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 -2*x+1.8 = 2.47*x/(1+1.47*x) .
    Question type: Equation
    Solution:Original question:
      - 2 x +
9
5
=
247
100
x ÷ (1 +
147
100
x )
     Multiply both sides of the equation by:(1 +
147
100
x )
      - 2 x (1 +
147
100
x ) +
9
5
(1 +
147
100
x ) =
247
100
x
    Remove a bracket on the left of the equation::
      - 2 x × 12 x ×
147
100
x +
9
5
(1 +
147
100
x ) =
247
100
x
    The equation is reduced to :
      - 2 x
147
50
x x +
9
5
(1 +
147
100
x ) =
247
100
x
    Remove a bracket on the left of the equation:
      - 2 x
147
50
x x +
9
5
× 1 +
9
5
×
147
100
x =
247
100
x
    The equation is reduced to :
      - 2 x
147
50
x x +
9
5
+
1323
500
x =
247
100
x
    The equation is reduced to :
     
323
500
x
147
50
x x +
9
5
=
247
100
x

    The solution of the equation:
        x1≈-1.151912 , keep 6 decimal places
        x2≈-0.680272 , keep 6 decimal places
        x3≈0.531503 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》




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