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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 4.5703 = ((30.56*0.847(x+0.1))/(1+0.847(x+0.1))*((100-8.28-1.4)/100)*(1/(1+0.31*1.4)+((2.26(x+0.1))/(1.3*0.101325)) ) ) .
    Question type: Equation
    Solution:Original question:
     
45703
10000
= ((
764
25
×
847
1000
( x +
1
10
)) ÷ (1 +
847
1000
( x +
1
10
)) × ((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))))
    Remove a bracket on the right of the equation::
     
45703
10000
= (
764
25
×
847
1000
( x +
1
10
)) ÷ (1 +
847
1000
( x +
1
10
)) × ((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
     Multiply both sides of the equation by:(1 +
847
1000
( x +
1
10
))
     
45703
10000
(1 +
847
1000
( x +
1
10
)) = (
764
25
×
847
1000
( x +
1
10
))((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
45703
10000
× 1 +
45703
10000
×
847
1000
( x +
1
10
) = (
764
25
×
847
1000
( x +
1
10
))((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
45703
10000
× 1 +
45703
10000
×
847
1000
( x +
1
10
) =
764
25
×
847
1000
( x +
1
10
)((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    The equation is reduced to :
     
45703
10000
+
38710441
10000000
( x +
1
10
) =
161777
6250
( x +
1
10
)((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
45703
10000
+
38710441
10000000
x +
38710441
10000000
×
1
10
=
161777
6250
( x +
1
10
)((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
45703
10000
+
38710441
10000000
x +
38710441
10000000
×
1
10
=
161777
6250
x ((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))) +
161777
6250
×
1
10
((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    The equation is reduced to :
     
45703
10000
+
38710441
10000000
x +
38710441
100000000
=
161777
6250
x ((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))) +
161777
62500
((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))

    The solution of the equation:
        x1≈-1.280638 , keep 6 decimal places
        x2≈0.267621 , 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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