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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 5.8370 = ((26.99*0.829(x+0.1))/(1+0.829(x+0.1))*((100-7.84-1.06)/100)*(1/(1+0.31*1.06)+((2.96(x+0.1))/(1.31*0.101325)) ) ) .
    Question type: Equation
    Solution:Original question:
     
5837
1000
= ((
2699
100
×
829
1000
( x +
1
10
)) ÷ (1 +
829
1000
( x +
1
10
)) × ((100
196
25
53
50
) ÷ 100)(1 ÷ (1 +
31
100
×
53
50
) + ((
74
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
))))
    Remove a bracket on the right of the equation::
     
5837
1000
= (
2699
100
×
829
1000
( x +
1
10
)) ÷ (1 +
829
1000
( x +
1
10
)) × ((100
196
25
53
50
) ÷ 100)(1 ÷ (1 +
31
100
×
53
50
) + ((
74
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
     Multiply both sides of the equation by:(1 +
829
1000
( x +
1
10
))
     
5837
1000
(1 +
829
1000
( x +
1
10
)) = (
2699
100
×
829
1000
( x +
1
10
))((100
196
25
53
50
) ÷ 100)(1 ÷ (1 +
31
100
×
53
50
) + ((
74
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
5837
1000
× 1 +
5837
1000
×
829
1000
( x +
1
10
) = (
2699
100
×
829
1000
( x +
1
10
))((100
196
25
53
50
) ÷ 100)(1 ÷ (1 +
31
100
×
53
50
) + ((
74
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
5837
1000
× 1 +
5837
1000
×
829
1000
( x +
1
10
) =
2699
100
×
829
1000
( x +
1
10
)((100
196
25
53
50
) ÷ 100)(1 ÷ (1 +
31
100
×
53
50
) + ((
74
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
    The equation is reduced to :
     
5837
1000
+
4838873
1000000
( x +
1
10
) =
2237471
100000
( x +
1
10
)((100
196
25
53
50
) ÷ 100)(1 ÷ (1 +
31
100
×
53
50
) + ((
74
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
5837
1000
+
4838873
1000000
x +
4838873
1000000
×
1
10
=
2237471
100000
( x +
1
10
)((100
196
25
53
50
) ÷ 100)(1 ÷ (1 +
31
100
×
53
50
) + ((
74
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
5837
1000
+
4838873
1000000
x +
4838873
1000000
×
1
10
=
2237471
100000
x ((100
196
25
53
50
) ÷ 100)(1 ÷ (1 +
31
100
×
53
50
) + ((
74
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
))) +
2237471
100000
×
1
10
((100
196
25
53
50
) ÷ 100)(1 ÷ (1 +
31
100
×
53
50
) + ((
74
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
    The equation is reduced to :
     
5837
1000
+
4838873
1000000
x +
4838873
10000000
=
2237471
100000
x ((100
196
25
53
50
) ÷ 100)(1 ÷ (1 +
31
100
×
53
50
) + ((
74
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
))) +
2237471
1000000
((100
196
25
53
50
) ÷ 100)(1 ÷ (1 +
31
100
×
53
50
) + ((
74
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))

    The solution of the equation:
        x1≈-1.306273 , keep 6 decimal places
        x2≈0.455740 , 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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