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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 (1.68/342.297)/(1.68/342.297+23.22/18.015) = (2.45/x)/(2.45/x+16.78/18.015) .
    Question type: Equation
    Solution:Original question:
     (
42
25
÷
342297
1000
) ÷ (
42
25
÷
342297
1000
+
1161
50
÷
3603
200
) = (
49
20
÷ x ) ÷ (
49
20
÷ x +
839
50
÷
3603
200
)
     Multiply both sides of the equation by:(
42
25
÷
342297
1000
+
1161
50
÷
3603
200
) ,  (
49
20
÷ x +
839
50
÷
3603
200
)
     (
42
25
÷
342297
1000
)(
49
20
÷ x +
839
50
÷
3603
200
) = (
49
20
÷ x )(
42
25
÷
342297
1000
+
1161
50
÷
3603
200
)
    Remove a bracket on the left of the equation::
     
42
25
÷
342297
1000
× (
49
20
÷ x +
839
50
÷
3603
200
) = (
49
20
÷ x )(
42
25
÷
342297
1000
+
1161
50
÷
3603
200
)
    Remove a bracket on the right of the equation::
     
42
25
÷
342297
1000
× (
49
20
÷ x +
839
50
÷
3603
200
) =
49
20
÷ x × (
42
25
÷
342297
1000
+
1161
50
÷
3603
200
)
    The equation is reduced to :
     
560
114099
(
49
20
÷ x +
839
50
÷
3603
200
) =
49
20
÷ x × (
42
25
÷
342297
1000
+
1161
50
÷
3603
200
)
     Multiply both sides of the equation by: x
     
560
114099
(
49
20
÷ x +
839
50
÷
3603
200
) x =
49
20
(
42
25
÷
342297
1000
+
1161
50
÷
3603
200
)
    Remove a bracket on the left of the equation:
     
560
114099
×
49
20
÷ x × x +
560
114099
×
839
50
÷
3603
200
× x =
49
20
(
42
25
÷
342297
1000
+
1161
50
÷
3603
200
)
    Remove a bracket on the right of the equation::
     
560
114099
×
49
20
÷ x × x +
560
114099
×
839
50
÷
3603
200
× x =
49
20
×
42
25
÷
342297
1000
+
49
20
×
1161
50
÷
3603
200
    The equation is reduced to :
     
1372
114099
÷ x × x +
1879360
411098697
x =
1372
114099
+
18963
6005
    The equation is reduced to :
     
1372
114099
÷ x × x +
1879360
411098697
x =
2171898197
685164495

    Transposition :
     
1879360
411098697
x =
2171898197
685164495
1372
114099
÷ 1 × 1

    Calculate the items on the right of the equation:
     
1879360
411098697
x =
2171898197
685164495
1372
114099

    the solutions is:
        x≈-2.630319 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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