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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 3.7326 = ((25.27*0.53(x+0.1))/(1+0.53(x+0.1))*((100-8.04-0.86)/100)*(1/(1+0.31*0.86)+((2.24(x+0.1))/(1.31*0.101325)) ) ) .
    Question type: Equation
    Solution:Original question:
     
18663
5000
= ((
2527
100
×
53
100
( x +
1
10
)) ÷ (1 +
53
100
( x +
1
10
)) × ((100
201
25
43
50
) ÷ 100)(1 ÷ (1 +
31
100
×
43
50
) + ((
56
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
))))
    Remove a bracket on the right of the equation::
     
18663
5000
= (
2527
100
×
53
100
( x +
1
10
)) ÷ (1 +
53
100
( x +
1
10
)) × ((100
201
25
43
50
) ÷ 100)(1 ÷ (1 +
31
100
×
43
50
) + ((
56
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
     Multiply both sides of the equation by:(1 +
53
100
( x +
1
10
))
     
18663
5000
(1 +
53
100
( x +
1
10
)) = (
2527
100
×
53
100
( x +
1
10
))((100
201
25
43
50
) ÷ 100)(1 ÷ (1 +
31
100
×
43
50
) + ((
56
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
18663
5000
× 1 +
18663
5000
×
53
100
( x +
1
10
) = (
2527
100
×
53
100
( x +
1
10
))((100
201
25
43
50
) ÷ 100)(1 ÷ (1 +
31
100
×
43
50
) + ((
56
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
18663
5000
× 1 +
18663
5000
×
53
100
( x +
1
10
) =
2527
100
×
53
100
( x +
1
10
)((100
201
25
43
50
) ÷ 100)(1 ÷ (1 +
31
100
×
43
50
) + ((
56
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
    The equation is reduced to :
     
18663
5000
+
989139
500000
( x +
1
10
) =
133931
10000
( x +
1
10
)((100
201
25
43
50
) ÷ 100)(1 ÷ (1 +
31
100
×
43
50
) + ((
56
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
18663
5000
+
989139
500000
x +
989139
500000
×
1
10
=
133931
10000
( x +
1
10
)((100
201
25
43
50
) ÷ 100)(1 ÷ (1 +
31
100
×
43
50
) + ((
56
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
18663
5000
+
989139
500000
x +
989139
500000
×
1
10
=
133931
10000
x ((100
201
25
43
50
) ÷ 100)(1 ÷ (1 +
31
100
×
43
50
) + ((
56
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
))) +
133931
10000
×
1
10
((100
201
25
43
50
) ÷ 100)(1 ÷ (1 +
31
100
×
43
50
) + ((
56
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))
    The equation is reduced to :
     
18663
5000
+
989139
500000
x +
989139
5000000
=
133931
10000
x ((100
201
25
43
50
) ÷ 100)(1 ÷ (1 +
31
100
×
43
50
) + ((
56
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
))) +
133931
100000
((100
201
25
43
50
) ÷ 100)(1 ÷ (1 +
31
100
×
43
50
) + ((
56
25
( x +
1
10
)) ÷ (
131
100
×
4053
40000
)))

    The solution of the equation:
        x1≈-1.986792 , keep 6 decimal places
        x2≈0.387623 , 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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