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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 0.744*(0.22-x)/(0.22+2*1.26)+(1-0.744)*(1.26-x)/(1.26+2*x) = 0 .
    Question type: Equation
    Solution:Original question:
     
93
125
(
11
50
x ) ÷ (
11
50
+ 2 ×
63
50
) + (1
93
125
)(
63
50
x ) ÷ (
63
50
+ 2 x ) = 0
     Multiply both sides of the equation by:(
11
50
+ 2 ×
63
50
)
     
93
125
(
11
50
x ) + (1
93
125
)(
63
50
x ) ÷ (
63
50
+ 2 x ) × (
11
50
+ 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation::
     
93
125
×
11
50
93
125
x + (1
93
125
)(
63
50
x ) ÷ (
63
50
+ 2 x ) × (
11
50
+ 2 ×
63
50
) = 0
    The equation is reduced to :
     
1023
6250
93
125
x + (1
93
125
)(
63
50
x ) ÷ (
63
50
+ 2 x ) × (
11
50
+ 2 ×
63
50
) = 0
     Multiply both sides of the equation by:(
63
50
+ 2 x )
     
1023
6250
(
63
50
+ 2 x )
93
125
x (
63
50
+ 2 x ) + (1
93
125
)(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
1023
6250
×
63
50
+
1023
6250
× 2 x
93
125
x (
63
50
+ 2 x ) + (1
93
125
)(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    The equation is reduced to :
     
64449
312500
+
1023
3125
x
93
125
x (
63
50
+ 2 x ) + (1
93
125
)(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
64449
312500
+
1023
3125
x
93
125
x ×
63
50
93
125
x × 2 x + (1
93
125
)(
63
50
x ) = 0
    The equation is reduced to :
     
64449
312500
+
1023
3125
x
5859
6250
x
186
125
x x + (1
93
125
)(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    The equation is reduced to :
     
64449
312500
3813
6250
x
186
125
x x + (1
93
125
)(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
64449
312500
3813
6250
x
186
125
x x + 1(
63
50
x )(
11
50
+ 2 ×
63
50
)
93
125
(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
64449
312500
3813
6250
x
186
125
x x + 1 ×
63
50
(
11
50
+ 2 ×
63
50
)1 x (
11
50
+ 2 ×
63
50
) = 0
    The equation is reduced to :
     
64449
312500
3813
6250
x
186
125
x x +
63
50
(
11
50
+ 2 ×
63
50
)1 x (
11
50
+ 2 ×
63
50
)
93
125
= 0
    Remove a bracket on the left of the equation:
     
64449
312500
3813
6250
x
186
125
x x +
63
50
×
11
50
+
63
50
× 2 ×
63
50
1 = 0
    The equation is reduced to :
     
64449
312500
3813
6250
x
186
125
x x +
693
2500
+
3969
1250
1 x (
11
50
+ 2 ×
63
50
)
93
125
= 0
    The equation is reduced to :
     
285831
78125
3813
6250
x
186
125
x x 1 x (
11
50
+ 2 ×
63
50
)
93
125
(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
285831
78125
3813
6250
x
186
125
x x 1 x ×
11
50
1 x × 2 = 0
    The equation is reduced to :
     
285831
78125
3813
6250
x
186
125
x x
11
50
x
63
25
x
93
125
(
63
50
x ) = 0
    The equation is reduced to :
     
285831
78125
10469
3125
x
186
125
x x
93
125
(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
285831
78125
10469
3125
x
186
125
x x
93
125
×
63
50
(
11
50
+ 2 ×
63
50
) +
93
125
x (
11
50
+ 2 ×
63
50
) = 0
    The equation is reduced to :
     
285831
78125
10469
3125
x
186
125
x x
5859
6250
(
11
50
+ 2 ×
63
50
) +
93
125
x (
11
50
+ 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
285831
78125
10469
3125
x
186
125
x x
5859
6250
×
11
50
5859
6250
× 2 ×
63
50
+
93
125
= 0
    The equation is reduced to :
     
285831
78125
10469
3125
x
186
125
x x
64449
312500
369117
156250
+
93
125
x (
11
50
+ 2 ×
63
50
) = 0

    The solution of the equation:
        x1≈-1.403391 , keep 6 decimal places
        x2≈0.521994 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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