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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 8.442+52.03x = 93.62+1157x*(1-x)/(1-0.45x)+0.484x+(0.2475xx)/(1-0.05)*4.18/32 .
    Question type: Equation
    Solution:Original question:
     
4221
500
+
5203
100
x =
4681
50
+ 1157 x (1 x ) ÷ (1
9
20
x ) +
121
250
x + (
99
400
x x ) ÷ (1
1
20
) ×
209
50
÷ 32
     Multiply both sides of the equation by:(1
9
20
x )
     
4221
500
(1
9
20
x ) +
5203
100
x (1
9
20
x ) =
4681
50
(1
9
20
x ) + 1157 x (1 x ) +
121
250
x (1
9
20
x ) + (
99
400
x x ) ÷ (1
1
20
) ×
209
50
÷ 32
    Remove a bracket on the left of the equation::
     
4221
500
× 1
4221
500
×
9
20
x +
5203
100
x (1
9
20
x ) =
4681
50
(1
9
20
x ) + 1157 x (1 x ) +
121
250
x (1
9
20
x ) + (
99
400
x x ) ÷ (1
1
20
) ×
209
50
÷ 32
    Remove a bracket on the right of the equation::
     
4221
500
× 1
4221
500
×
9
20
x +
5203
100
x (1
9
20
x ) =
4681
50
× 1
4681
50
×
9
20
x + 1157 x (1 x ) +
121
250
x (1
9
20
x ) + (
99
400
x x )
    The equation is reduced to :
     
4221
500
37989
10000
x +
5203
100
x (1
9
20
x ) =
4681
50
42129
1000
x + 1157 x (1 x ) +
121
250
x (1
9
20
x ) + (
99
400
x x ) ÷ (1
1
20
) ×
209
1600
     Multiply both sides of the equation by:(1
1
20
)
     
4221
500
(1
1
20
)
37989
10000
x (1
1
20
) +
5203
100
x (1
9
20
x )(1
1
20
) =
4681
50
(1
1
20
)
42129
1000
x (1
1
20
) + 1157 x (1 x )(1
1
20
) +
121
250
x (1
9
20
x )
    Remove a bracket on the left of the equation:
     
4221
500
× 1
4221
500
×
1
20
37989
10000
x (1
1
20
) +
5203
100
x (1
9
20
x )(1
1
20
) =
4681
50
(1
1
20
)
42129
1000
x (1
1
20
) + 1157 x (1 x )(1
1
20
) +
121
250
x (1
9
20
x )
    Remove a bracket on the right of the equation::
     
4221
500
× 1
4221
500
×
1
20
37989
10000
x (1
1
20
) +
5203
100
x (1
9
20
x )(1
1
20
) =
4681
50
× 1
4681
50
×
1
20
42129
1000
x (1
1
20
) + 1157 x (1 x )(1
1
20
) +
121
250
    The equation is reduced to :
     
4221
500
4221
10000
37989
10000
x (1
1
20
) +
5203
100
x (1
9
20
x )(1
1
20
) =
4681
50
4681
1000
42129
1000
x (1
1
20
) + 1157 x (1 x )(1
1
20
) +
121
250
x (1
9
20
x )
    The equation is reduced to :
     
80199
10000
37989
10000
x (1
1
20
) +
5203
100
x (1
9
20
x )(1
1
20
) =
88939
1000
42129
1000
x (1
1
20
) + 1157 x (1 x )(1
1
20
) +
121
250
x (1
9
20
x )(1
1
20
)
    Remove a bracket on the left of the equation:
     
80199
10000
37989
10000
x × 1 +
37989
10000
x ×
1
20
+
5203
100
x (1
9
20
x )(1
1
20
) =
88939
1000
42129
1000
x (1
1
20
) + 1157 x (1 x )(1
1
20
) +
121
250
x (1
9
20
x )(1
1
20
)
    Remove a bracket on the right of the equation::
     
80199
10000
37989
10000
x × 1 +
37989
10000
x ×
1
20
+
5203
100
x (1
9
20
x )(1
1
20
) =
88939
1000
42129
1000
x × 1 +
42129
1000
x ×
1
20
+ 1157 x (1 x )(1
1
20
) +
121
250
    The equation is reduced to :
     
80199
10000
37989
10000
x +
37989
200000
x +
5203
100
x (1
9
20
x )(1
1
20
) =
88939
1000
42129
1000
x +
42129
20000
x + 1157 x (1 x )(1
1
20
) +
121
250
x (1
9
20
x )
    The equation is reduced to :
     
80199
10000
721791
200000
x +
5203
100
x (1
9
20
x )(1
1
20
) =
88939
1000
800451
20000
x + 1157 x (1 x )(1
1
20
) +
121
250
x (1
9
20
x )(1
1
20
) + (
99
400
x x )
    Remove a bracket on the left of the equation:
     
80199
10000
721791
200000
x +
5203
100
x × 1(1
1
20
)
5203
100
x ×
9
20
x (1
1
20
) =
88939
1000
800451
20000
x + 1157 x (1 x )(1
1
20
) +
121
250
x (1
9
20
x )(1
1
20
) + (
99
400
x x )
    Remove a bracket on the right of the equation::
     
80199
10000
721791
200000
x +
5203
100
x × 1(1
1
20
)
5203
100
x ×
9
20
x (1
1
20
) =
88939
1000
800451
20000
x + 1157 x × 1(1
1
20
)1157 x x (1
1
20
) +
121
250
    The equation is reduced to :
     
80199
10000
721791
200000
x +
5203
100
x (1
1
20
)
46827
2000
x x (1
1
20
) =
88939
1000
800451
20000
x + 1157 x (1
1
20
)1157 x x (1
1
20
) +
121
250
x
    Remove a bracket on the left of the equation:
     
80199
10000
721791
200000
x +
5203
100
x × 1
5203
100
x ×
1
20
46827
2000
x x =
88939
1000
800451
20000
x + 1157 x (1
1
20
)1157 x x (1
1
20
) +
121
250
x
    Remove a bracket on the right of the equation::
     
80199
10000
721791
200000
x +
5203
100
x × 1
5203
100
x ×
1
20
46827
2000
x x =
88939
1000
800451
20000
x + 1157 x × 11157 x ×
1
20
1157 x x
    The equation is reduced to :
     
80199
10000
721791
200000
x +
5203
100
x
5203
2000
x
46827
2000
x x (1
1
20
) =
88939
1000
800451
20000
x + 1157 x
1157
20
x 1157 x x (1
1
20
) +
121
250

    The solution of the equation:
        x1≈0.073351 , keep 6 decimal places
        x2≈0.983579 , 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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