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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 8.572 = ((30.18*0.1938(x+0.1))/(1+0.1938(x+0.1))*((100-13.68-2.60)/100)*(1/(1+0.31*2.6))+((3.45(x+0.1))/(1.4*0.101325)) ) .
    Question type: Equation
    Solution:Original question:
     
2143
250
= ((
1509
50
×
969
5000
( x +
1
10
)) ÷ (1 +
969
5000
( x +
1
10
)) × ((100 −
342
25
−
13
5
) ÷ 100)(1 ÷ (1 +
31
100
×
13
5
)) + ((
69
20
( x +
1
10
)) ÷ (
7
5
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
2143
250
= (
1509
50
×
969
5000
( x +
1
10
)) ÷ (1 +
969
5000
( x +
1
10
)) × ((100 −
342
25
−
13
5
) ÷ 100)(1 ÷ (1 +
31
100
×
13
5
)) + ((
69
20
( x +
1
10
)) ÷ (
7
5
×
4053
40000
))
     Multiply both sides of the equation by:(1 +
969
5000
( x +
1
10
))
     
2143
250
(1 +
969
5000
( x +
1
10
)) = (
1509
50
×
969
5000
( x +
1
10
))((100 −
342
25
−
13
5
) ÷ 100)(1 ÷ (1 +
31
100
×
13
5
)) + ((
69
20
( x +
1
10
)) ÷ (
7
5
×
4053
40000
))(1 +
969
5000
( x +
1
10
))
    Remove a bracket on the left of the equation:
     
2143
250
× 1 +
2143
250
×
969
5000
( x +
1
10
) = (
1509
50
×
969
5000
( x +
1
10
))((100 −
342
25
−
13
5
) ÷ 100)(1 ÷ (1 +
31
100
×
13
5
)) + ((
69
20
( x +
1
10
)) ÷ (
7
5
×
4053
40000
))(1 +
969
5000
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
2143
250
× 1 +
2143
250
×
969
5000
( x +
1
10
) =
1509
50
×
969
5000
( x +
1
10
)((100 −
342
25
−
13
5
) ÷ 100)(1 ÷ (1 +
31
100
×
13
5
)) + ((
69
20
( x +
1
10
)) ÷ (
7
5
×
4053
40000
))(1 +
969
5000
( x +
1
10
))
    The equation is reduced to :
     
2143
250
+
2076567
1250000
( x +
1
10
) =
1462221
250000
( x +
1
10
)((100 −
342
25
−
13
5
) ÷ 100)(1 ÷ (1 +
31
100
×
13
5
)) + ((
69
20
( x +
1
10
)) ÷ (
7
5
×
4053
40000
))(1 +
969
5000
( x +
1
10
))
    Remove a bracket on the left of the equation:
     
2143
250
+
2076567
1250000
x +
2076567
1250000
×
1
10
=
1462221
250000
( x +
1
10
)((100 −
342
25
−
13
5
) ÷ 100)(1 ÷ (1 +
31
100
×
13
5
)) + ((
69
20
( x +
1
10
)) ÷ (
7
5
×
4053
40000
))(1 +
969
5000
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
2143
250
+
2076567
1250000
x +
2076567
1250000
×
1
10
=
1462221
250000
x ((100 −
342
25
−
13
5
) ÷ 100)(1 ÷ (1 +
31
100
×
13
5
)) +
1462221
250000
×
1
10
((100 −
342
25
−
13
5
) ÷ 100)(1 ÷ (1 +
31
100
×
13
5
)) + ((
69
20
( x +
1
10
)) ÷ (
7
5
×
4053
40000
))(1 +
969
5000
( x +
1
10
))
    The equation is reduced to :
     
2143
250
+
2076567
1250000
x +
2076567
12500000
=
1462221
250000
x ((100 −
342
25
−
13
5
) ÷ 100)(1 ÷ (1 +
31
100
×
13
5
)) +
1462221
2500000
((100 −
342
25
−
13
5
) ÷ 100)(1 ÷ (1 +
31
100
×
13
5
)) + ((
69
20
( x +
1
10
)) ÷ (
7
5
×
4053
40000
))(1 +
969
5000
( x +
1
10
))

    The solution of the equation:
        x1≈-5.259959 , keep 6 decimal places
        x2≈8.063114 , 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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