Mathematics
         
语言:中文    Language:English
                                Equations   
Unfold
                                Math OP  
Fold
                                Inequality
                                Mathematics
                                Fractions
                                Statistics
                                Prime factor
                                Fraction and Decimal Interactions
                                Lenders ToolBox
                                Linear algebra      
Unfold
                                Derivative function
                                Function image
                                Hot issues
Mathematical calculation:
    Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
    It supports mathematical functions (including trigonometric functions).
    Current location:Mathematical operation > History of Mathematical Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 16.3078*1.0574*((X+0.1)/(1+1.0574*(X+0.1)))*((100-9.99-0.21)/(100))*(1/(1+0.31*0.21))+2.24*((X+0.1)/(1.35*0.101325)) = 3.4272 .
    Question type: Equation
    Solution:Original question:
     
81539
5000
×
5287
5000
(( X +
1
10
) ÷ (1 +
5287
5000
( X +
1
10
)))((100
999
100
21
100
) ÷ (100))(1 ÷ (1 +
31
100
×
21
100
)) +
56
25
(( X +
1
10
) ÷ (
27
20
×
4053
40000
)) =
2142
625
    Remove a bracket on the left of the equation::
     
81539
5000
×
5287
5000
( X +
1
10
) ÷ (1 +
5287
5000
( X +
1
10
)) × ((100
999
100
21
100
) ÷ (100))(1 ÷ (1 +
31
100
×
21
100
)) +
56
25
(( X +
1
10
) ÷ (
27
20
×
4053
40000
)) =
2142
625
    The equation is reduced to :
     
431096693
25000000
( X +
1
10
) ÷ (1 +
5287
5000
( X +
1
10
)) × ((100
999
100
21
100
) ÷ (100))(1 ÷ (1 +
31
100
×
21
100
)) +
56
25
(( X +
1
10
) ÷ (
27
20
×
4053
40000
)) =
2142
625
     Multiply both sides of the equation by:(1 +
5287
5000
( X +
1
10
))
     
431096693
25000000
( X +
1
10
)((100
999
100
21
100
) ÷ (100))(1 ÷ (1 +
31
100
×
21
100
)) +
56
25
(( X +
1
10
) ÷ (
27
20
×
4053
40000
))(1 +
5287
5000
( X +
1
10
)) =
2142
625
(1 +
5287
5000
( X +
1
10
))
    Remove a bracket on the left of the equation:
     
431096693
25000000
X ((100
999
100
21
100
) ÷ (100))(1 ÷ (1 +
31
100
×
21
100
)) +
431096693
25000000
×
1
10
((100
999
100
21
100
) ÷ (100))(1 ÷ (1 +
31
100
×
21
100
)) +
56
25
(( X +
1
10
) ÷ (
27
20
×
4053
40000
))(1 +
5287
5000
( X +
1
10
)) =
2142
625
(1 +
5287
5000
( X +
1
10
))
    Remove a bracket on the right of the equation::
     
431096693
25000000
X ((100
999
100
21
100
) ÷ (100))(1 ÷ (1 +
31
100
×
21
100
)) +
431096693
25000000
×
1
10
((100
999
100
21
100
) ÷ (100))(1 ÷ (1 +
31
100
×
21
100
)) +
56
25
(( X +
1
10
) ÷ (
27
20
×
4053
40000
))(1 +
5287
5000
( X +
1
10
)) =
2142
625
× 1 +
2142
625
×
5287
5000
( X +
1
10
)
    The equation is reduced to :
     
431096693
25000000
X ((100
999
100
21
100
) ÷ (100))(1 ÷ (1 +
31
100
×
21
100
)) +
431096693
250000000
((100
999
100
21
100
) ÷ (100))(1 ÷ (1 +
31
100
×
21
100
)) +
56
25
(( X +
1
10
) ÷ (
27
20
×
4053
40000
))(1 +
5287
5000
( X +
1
10
)) =
2142
625
+
5662377
1562500
( X +
1
10
)
    Remove a bracket on the left of the equation:
     
431096693
25000000
X (100
999
100
21
100
) ÷ (100) × (1 ÷ (1 +
31
100
×
21
100
)) +
431096693
250000000
((100
999
100
21
100
) ÷ (100))(1 ÷ (1 +
31
100
×
21
100
)) +
56
25
(( X +
1
10
) ÷ (
27
20
×
4053
40000
))(1 +
5287
5000
( X +
1
10
)) =
2142
625
+
5662377
1562500
( X +
1
10
)
    Remove a bracket on the right of the equation::
     
431096693
25000000
X (100
999
100
21
100
) ÷ (100) × (1 ÷ (1 +
31
100
×
21
100
)) +
431096693
250000000
((100
999
100
21
100
) ÷ (100))(1 ÷ (1 +
31
100
×
21
100
)) +
56
25
(( X +
1
10
) ÷ (
27
20
×
4053
40000
))(1 +
5287
5000
( X +
1
10
)) =
2142
625
+
5662377
1562500
X +
5662377
1562500
×
1
10
    The equation is reduced to :
     
431096693
25000000
X (100
999
100
21
100
) ÷ (100) × (1 ÷ (1 +
31
100
×
21
100
)) +
431096693
250000000
((100
999
100
21
100
) ÷ (100))(1 ÷ (1 +
31
100
×
21
100
)) +
56
25
(( X +
1
10
) ÷ (
27
20
×
4053
40000
))(1 +
5287
5000
( X +
1
10
)) =
2142
625
+
5662377
1562500
X +
5662377
15625000

    The solution of the equation:
        X1≈-1.045716 , keep 6 decimal places
        X2≈1.095606 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。