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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 4.5945 = ((19.457*0.634(x+0.1))/(1+0.634(x+0.1))*((100-17.84-1.23)/100)*(1/(1+0.31*1.23)+((3.76(x+0.1))/(1.427*0.101325)) ) ) .
    Question type: Equation
    Solution:Original question:
     
9189
2000
= ((
19457
1000
×
317
500
( x +
1
10
)) ÷ (1 +
317
500
( x +
1
10
)) × ((100
446
25
123
100
) ÷ 100)(1 ÷ (1 +
31
100
×
123
100
) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
×
4053
40000
))))
    Remove a bracket on the right of the equation::
     
9189
2000
= (
19457
1000
×
317
500
( x +
1
10
)) ÷ (1 +
317
500
( x +
1
10
)) × ((100
446
25
123
100
) ÷ 100)(1 ÷ (1 +
31
100
×
123
100
) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
×
4053
40000
)))
     Multiply both sides of the equation by:(1 +
317
500
( x +
1
10
))
     
9189
2000
(1 +
317
500
( x +
1
10
)) = (
19457
1000
×
317
500
( x +
1
10
))((100
446
25
123
100
) ÷ 100)(1 ÷ (1 +
31
100
×
123
100
) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
9189
2000
× 1 +
9189
2000
×
317
500
( x +
1
10
) = (
19457
1000
×
317
500
( x +
1
10
))((100
446
25
123
100
) ÷ 100)(1 ÷ (1 +
31
100
×
123
100
) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
9189
2000
× 1 +
9189
2000
×
317
500
( x +
1
10
) =
19457
1000
×
317
500
( x +
1
10
)((100
446
25
123
100
) ÷ 100)(1 ÷ (1 +
31
100
×
123
100
) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
×
4053
40000
)))
    The equation is reduced to :
     
9189
2000
+
2912913
1000000
( x +
1
10
) =
6167869
500000
( x +
1
10
)((100
446
25
123
100
) ÷ 100)(1 ÷ (1 +
31
100
×
123
100
) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
9189
2000
+
2912913
1000000
x +
2912913
1000000
×
1
10
=
6167869
500000
( x +
1
10
)((100
446
25
123
100
) ÷ 100)(1 ÷ (1 +
31
100
×
123
100
) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
9189
2000
+
2912913
1000000
x +
2912913
1000000
×
1
10
=
6167869
500000
x ((100
446
25
123
100
) ÷ 100)(1 ÷ (1 +
31
100
×
123
100
) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
×
4053
40000
))) +
6167869
500000
×
1
10
((100
446
25
123
100
) ÷ 100)(1 ÷ (1 +
31
100
×
123
100
) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
×
4053
40000
)))
    The equation is reduced to :
     
9189
2000
+
2912913
1000000
x +
2912913
10000000
=
6167869
500000
x ((100
446
25
123
100
) ÷ 100)(1 ÷ (1 +
31
100
×
123
100
) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
×
4053
40000
))) +
6167869
5000000
((100
446
25
123
100
) ÷ 100)(1 ÷ (1 +
31
100
×
123
100
) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
×
4053
40000
)))

    The solution of the equation:
        x1≈-1.677287 , keep 6 decimal places
        x2≈0.964882 , 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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