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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 0.261*(0.22-x)/(0.22+2*1.26)+(1-0.261)*(1.26-x)/(1.26+2*x) = 0 .
    Question type: Equation
    Solution:Original question:
     
261
1000
(
11
50
x ) ÷ (
11
50
+ 2 ×
63
50
) + (1
261
1000
)(
63
50
x ) ÷ (
63
50
+ 2 x ) = 0
     Multiply both sides of the equation by:(
11
50
+ 2 ×
63
50
)
     
261
1000
(
11
50
x ) + (1
261
1000
)(
63
50
x ) ÷ (
63
50
+ 2 x ) × (
11
50
+ 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation::
     
261
1000
×
11
50
261
1000
x + (1
261
1000
)(
63
50
x ) ÷ (
63
50
+ 2 x ) × (
11
50
+ 2 ×
63
50
) = 0
    The equation is reduced to :
     
2871
50000
261
1000
x + (1
261
1000
)(
63
50
x ) ÷ (
63
50
+ 2 x ) × (
11
50
+ 2 ×
63
50
) = 0
     Multiply both sides of the equation by:(
63
50
+ 2 x )
     
2871
50000
(
63
50
+ 2 x )
261
1000
x (
63
50
+ 2 x ) + (1
261
1000
)(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
2871
50000
×
63
50
+
2871
50000
× 2 x
261
1000
x (
63
50
+ 2 x ) + (1
261
1000
)(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    The equation is reduced to :
     
180873
2500000
+
2871
25000
x
261
1000
x (
63
50
+ 2 x ) + (1
261
1000
)(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
180873
2500000
+
2871
25000
x
261
1000
x ×
63
50
261
1000
x × 2 x + (1
261
1000
)(
63
50
x ) = 0
    The equation is reduced to :
     
180873
2500000
+
2871
25000
x
16443
50000
x
261
500
x x + (1
261
1000
)(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    The equation is reduced to :
     
180873
2500000
10701
50000
x
261
500
x x + (1
261
1000
)(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
180873
2500000
10701
50000
x
261
500
x x + 1(
63
50
x )(
11
50
+ 2 ×
63
50
)
261
1000
(
63
50
x )(
11
50
+ 2 ×
63
50
) = 0
    Remove a bracket on the left of the equation:
     
180873
2500000
10701
50000
x
261
500
x x + 1 ×
63
50
(
11
50
+ 2 ×
63
50
)1 x (
11
50
+ 2 ×
63
50
) = 0
    The equation is reduced to :
     
180873
2500000
10701
50000
x
261
500
x x +
63
50
(
11
50
+ 2 ×
63
50
)1 x (
11
50
+ 2 ×
63
50
)
261
1000
= 0
    Remove a bracket on the left of the equation:
     
180873
2500000
10701
50000
x
261
500
x x +
63
50
×
11
50
+
63
50
× 2 ×
63
50
1 = 0
    The equation is reduced to :
     
180873
2500000
10701
50000
x
261
500
x x +
693
2500
+
3969
1250
1 x (
11
50
+ 2 ×
63
50
)
261
1000
= 0

    The solution of the equation:
        x1≈-5.246966 , keep 6 decimal places
        x2≈0.957924 , 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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