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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 0.5149/(1+1.05x)-0.0432/(1-0.19x)-0.1627/(1-0.66x) = 0 .
    Question type: Equation
    Solution:Original question:
     
5149
10000
÷ (1 +
21
20
x )
27
625
÷ (1
19
100
x )
1627
10000
÷ (1
33
50
x ) = 0
     Multiply both sides of the equation by:(1 +
21
20
x )
     
5149
10000
27
625
÷ (1
19
100
x ) × (1 +
21
20
x )
1627
10000
÷ (1
33
50
x ) × (1 +
21
20
x ) = 0
    Remove a bracket on the left of the equation::
     
5149
10000
27
625
÷ (1
19
100
x ) × 1
27
625
÷ (1
19
100
x ) ×
21
20
x
1627
10000
÷ (1
33
50
x ) × (1 +
21
20
x ) = 0
    The equation is reduced to :
     
5149
10000
27
625
÷ (1
19
100
x )
567
12500
÷ (1
19
100
x ) × x
1627
10000
÷ (1
33
50
x ) × (1 +
21
20
x ) = 0
     Multiply both sides of the equation by:(1
19
100
x )
     
5149
10000
(1
19
100
x )
27
625
567
12500
x
1627
10000
÷ (1
33
50
x ) × (1 +
21
20
x )(1
19
100
x ) = 0
    Remove a bracket on the left of the equation:
     
5149
10000
× 1
5149
10000
×
19
100
x
27
625
567
12500
x
1627
10000
÷ (1
33
50
x ) × (1 +
21
20
x )(1
19
100
x ) = 0
    The equation is reduced to :
     
5149
10000
97831
1000000
x
27
625
567
12500
x
1627
10000
÷ (1
33
50
x ) × (1 +
21
20
x )(1
19
100
x ) = 0

    The solution of the equation:
        x1≈-0.952381 , keep 6 decimal places
        x2≈0.595586 , keep 6 decimal places
        x3≈4.086305 , keep 6 decimal places
        x4≈5.263158 , keep 6 decimal places
    
    There are 4 solution(s).


解程的详细方法请参阅:《方程的解法》



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