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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 2.9847 = ((18.92*0.76(x+0.1))/(1+0.76(x+0.1))*((100-18.25-1.35)/100)*(1/(1+0.31*1.35)+((2(x+0.1))/(1.47*0.101325)) ) ) .
    Question type: Equation
    Solution:Original question:
     
29847
10000
= ((
473
25
×
19
25
( x +
1
10
)) ÷ (1 +
19
25
( x +
1
10
)) × ((100
73
4
27
20
) ÷ 100)(1 ÷ (1 +
31
100
×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
×
4053
40000
))))
    Remove a bracket on the right of the equation::
     
29847
10000
= (
473
25
×
19
25
( x +
1
10
)) ÷ (1 +
19
25
( x +
1
10
)) × ((100
73
4
27
20
) ÷ 100)(1 ÷ (1 +
31
100
×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
×
4053
40000
)))
     Multiply both sides of the equation by:(1 +
19
25
( x +
1
10
))
     
29847
10000
(1 +
19
25
( x +
1
10
)) = (
473
25
×
19
25
( x +
1
10
))((100
73
4
27
20
) ÷ 100)(1 ÷ (1 +
31
100
×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
29847
10000
× 1 +
29847
10000
×
19
25
( x +
1
10
) = (
473
25
×
19
25
( x +
1
10
))((100
73
4
27
20
) ÷ 100)(1 ÷ (1 +
31
100
×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
29847
10000
× 1 +
29847
10000
×
19
25
( x +
1
10
) =
473
25
×
19
25
( x +
1
10
)((100
73
4
27
20
) ÷ 100)(1 ÷ (1 +
31
100
×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
×
4053
40000
)))
    The equation is reduced to :
     
29847
10000
+
567093
250000
( x +
1
10
) =
8987
625
( x +
1
10
)((100
73
4
27
20
) ÷ 100)(1 ÷ (1 +
31
100
×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
29847
10000
+
567093
250000
x +
567093
250000
×
1
10
=
8987
625
( x +
1
10
)((100
73
4
27
20
) ÷ 100)(1 ÷ (1 +
31
100
×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
29847
10000
+
567093
250000
x +
567093
250000
×
1
10
=
8987
625
x ((100
73
4
27
20
) ÷ 100)(1 ÷ (1 +
31
100
×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
×
4053
40000
))) +
8987
625
×
1
10
((100
73
4
27
20
) ÷ 100)(1 ÷ (1 +
31
100
×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
×
4053
40000
)))
    The equation is reduced to :
     
29847
10000
+
567093
250000
x +
567093
2500000
=
8987
625
x ((100
73
4
27
20
) ÷ 100)(1 ÷ (1 +
31
100
×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
×
4053
40000
))) +
8987
6250
((100
73
4
27
20
) ÷ 100)(1 ÷ (1 +
31
100
×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
×
4053
40000
)))

    The solution of the equation:
        x1≈-1.415789 , keep 6 decimal places
        x2≈0.407455 , 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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