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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 3.0157 = ((25.5755*0.8962(x+0.1))/(1+0.8962(x+0.1))*((100-10.81-1.96)/100)*(1/(1+0.31*1.96)+((2.07(x+0.1))/(1.42*0.101325)) ) ) .
    Question type: Equation
    Solution:Original question:
     
30157
10000
= ((
51151
2000
×
4481
5000
( x +
1
10
)) ÷ (1 +
4481
5000
( x +
1
10
)) × ((100
1081
100
49
25
) ÷ 100)(1 ÷ (1 +
31
100
×
49
25
) + ((
207
100
( x +
1
10
)) ÷ (
71
50
×
4053
40000
))))
    Remove a bracket on the right of the equation::
     
30157
10000
= (
51151
2000
×
4481
5000
( x +
1
10
)) ÷ (1 +
4481
5000
( x +
1
10
)) × ((100
1081
100
49
25
) ÷ 100)(1 ÷ (1 +
31
100
×
49
25
) + ((
207
100
( x +
1
10
)) ÷ (
71
50
×
4053
40000
)))
     Multiply both sides of the equation by:(1 +
4481
5000
( x +
1
10
))
     
30157
10000
(1 +
4481
5000
( x +
1
10
)) = (
51151
2000
×
4481
5000
( x +
1
10
))((100
1081
100
49
25
) ÷ 100)(1 ÷ (1 +
31
100
×
49
25
) + ((
207
100
( x +
1
10
)) ÷ (
71
50
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
30157
10000
× 1 +
30157
10000
×
4481
5000
( x +
1
10
) = (
51151
2000
×
4481
5000
( x +
1
10
))((100
1081
100
49
25
) ÷ 100)(1 ÷ (1 +
31
100
×
49
25
) + ((
207
100
( x +
1
10
)) ÷ (
71
50
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
30157
10000
× 1 +
30157
10000
×
4481
5000
( x +
1
10
) =
51151
2000
×
4481
5000
( x +
1
10
)((100
1081
100
49
25
) ÷ 100)(1 ÷ (1 +
31
100
×
49
25
) + ((
207
100
( x +
1
10
)) ÷ (
71
50
×
4053
40000
)))
    The equation is reduced to :
     
30157
10000
+
135133517
50000000
( x +
1
10
) =
229207631
10000000
( x +
1
10
)((100
1081
100
49
25
) ÷ 100)(1 ÷ (1 +
31
100
×
49
25
) + ((
207
100
( x +
1
10
)) ÷ (
71
50
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
30157
10000
+
135133517
50000000
x +
135133517
50000000
×
1
10
=
229207631
10000000
( x +
1
10
)((100
1081
100
49
25
) ÷ 100)(1 ÷ (1 +
31
100
×
49
25
) + ((
207
100
( x +
1
10
)) ÷ (
71
50
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
30157
10000
+
135133517
50000000
x +
135133517
50000000
×
1
10
=
229207631
10000000
x ((100
1081
100
49
25
) ÷ 100)(1 ÷ (1 +
31
100
×
49
25
) + ((
207
100
( x +
1
10
)) ÷ (
71
50
×
4053
40000
))) +
229207631
10000000
×
1
10
((100
1081
100
49
25
) ÷ 100)(1 ÷ (1 +
31
100
×
49
25
) + ((
207
100
( x +
1
10
)) ÷ (
71
50
×
4053
40000
)))
    The equation is reduced to :
     
30157
10000
+
135133517
50000000
x +
135133517
500000000
=
229207631
10000000
x ((100
1081
100
49
25
) ÷ 100)(1 ÷ (1 +
31
100
×
49
25
) + ((
207
100
( x +
1
10
)) ÷ (
71
50
×
4053
40000
))) +
229207631
100000000
((100
1081
100
49
25
) ÷ 100)(1 ÷ (1 +
31
100
×
49
25
) + ((
207
100
( x +
1
10
)) ÷ (
71
50
×
4053
40000
)))

    The solution of the equation:
        x1≈-1.215822 , keep 6 decimal places
        x2≈0.209799 , 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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