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    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 4.2844 = ((25.07*0.532(x+0.1))/(1+0.532(x+0.1))*((100-12.21-1.3)/100)*(1/(1+0.31*1.3)+((2.14(x+0.1))/(1.37*0.101325)) ) ) .
    Question type: Equation
    Solution:Original question:
     
10711
2500
= ((
2507
100
×
133
250
( x +
1
10
)) ÷ (1 +
133
250
( x +
1
10
)) × ((100
1221
100
13
10
) ÷ 100)(1 ÷ (1 +
31
100
×
13
10
) + ((
107
50
( x +
1
10
)) ÷ (
137
100
×
4053
40000
))))
    Remove a bracket on the right of the equation::
     
10711
2500
= (
2507
100
×
133
250
( x +
1
10
)) ÷ (1 +
133
250
( x +
1
10
)) × ((100
1221
100
13
10
) ÷ 100)(1 ÷ (1 +
31
100
×
13
10
) + ((
107
50
( x +
1
10
)) ÷ (
137
100
×
4053
40000
)))
     Multiply both sides of the equation by:(1 +
133
250
( x +
1
10
))
     
10711
2500
(1 +
133
250
( x +
1
10
)) = (
2507
100
×
133
250
( x +
1
10
))((100
1221
100
13
10
) ÷ 100)(1 ÷ (1 +
31
100
×
13
10
) + ((
107
50
( x +
1
10
)) ÷ (
137
100
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
10711
2500
× 1 +
10711
2500
×
133
250
( x +
1
10
) = (
2507
100
×
133
250
( x +
1
10
))((100
1221
100
13
10
) ÷ 100)(1 ÷ (1 +
31
100
×
13
10
) + ((
107
50
( x +
1
10
)) ÷ (
137
100
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
10711
2500
× 1 +
10711
2500
×
133
250
( x +
1
10
) =
2507
100
×
133
250
( x +
1
10
)((100
1221
100
13
10
) ÷ 100)(1 ÷ (1 +
31
100
×
13
10
) + ((
107
50
( x +
1
10
)) ÷ (
137
100
×
4053
40000
)))
    The equation is reduced to :
     
10711
2500
+
1424563
625000
( x +
1
10
) =
333431
25000
( x +
1
10
)((100
1221
100
13
10
) ÷ 100)(1 ÷ (1 +
31
100
×
13
10
) + ((
107
50
( x +
1
10
)) ÷ (
137
100
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
10711
2500
+
1424563
625000
x +
1424563
625000
×
1
10
=
333431
25000
( x +
1
10
)((100
1221
100
13
10
) ÷ 100)(1 ÷ (1 +
31
100
×
13
10
) + ((
107
50
( x +
1
10
)) ÷ (
137
100
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
10711
2500
+
1424563
625000
x +
1424563
625000
×
1
10
=
333431
25000
x ((100
1221
100
13
10
) ÷ 100)(1 ÷ (1 +
31
100
×
13
10
) + ((
107
50
( x +
1
10
)) ÷ (
137
100
×
4053
40000
))) +
333431
25000
×
1
10
((100
1221
100
13
10
) ÷ 100)(1 ÷ (1 +
31
100
×
13
10
) + ((
107
50
( x +
1
10
)) ÷ (
137
100
×
4053
40000
)))
    The equation is reduced to :
     
10711
2500
+
1424563
625000
x +
1424563
6250000
=
333431
25000
x ((100
1221
100
13
10
) ÷ 100)(1 ÷ (1 +
31
100
×
13
10
) + ((
107
50
( x +
1
10
)) ÷ (
137
100
×
4053
40000
))) +
333431
250000
((100
1221
100
13
10
) ÷ 100)(1 ÷ (1 +
31
100
×
13
10
) + ((
107
50
( x +
1
10
)) ÷ (
137
100
×
4053
40000
)))

    The solution of the equation:
        x1≈-1.979699 , keep 6 decimal places
        x2≈0.620959 , 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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