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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 (0.525x+2.16)/(1.7x+7.7)+3.3/(x+11) = 0.385 .
    Question type: Equation
    Solution:Original question:
     (
21
40
x +
54
25
) ÷ (
17
10
x +
77
10
) +
33
10
÷ ( x + 11) =
77
200
     Multiply both sides of the equation by:(
17
10
x +
77
10
)
     (
21
40
x +
54
25
) +
33
10
÷ ( x + 11) × (
17
10
x +
77
10
) =
77
200
(
17
10
x +
77
10
)
    Remove a bracket on the left of the equation::
     
21
40
x +
54
25
+
33
10
÷ ( x + 11) × (
17
10
x +
77
10
) =
77
200
(
17
10
x +
77
10
)
    Remove a bracket on the right of the equation::
     
21
40
x +
54
25
+
33
10
÷ ( x + 11) × (
17
10
x +
77
10
) =
77
200
×
17
10
x +
77
200
×
77
10
    The equation is reduced to :
     
21
40
x +
54
25
+
33
10
÷ ( x + 11) × (
17
10
x +
77
10
) =
1309
2000
x +
5929
2000
     Multiply both sides of the equation by:( x + 11)
     
21
40
x ( x + 11) +
54
25
( x + 11) +
33
10
(
17
10
x +
77
10
) =
1309
2000
x ( x + 11) +
5929
2000
( x + 11)
    Remove a bracket on the left of the equation:
     
21
40
x x +
21
40
x × 11 +
54
25
( x + 11) +
33
10
(
17
10
x +
77
10
) =
1309
2000
x ( x + 11) +
5929
2000
( x + 11)
    Remove a bracket on the right of the equation::
     
21
40
x x +
21
40
x × 11 +
54
25
( x + 11) +
33
10
(
17
10
x +
77
10
) =
1309
2000
x x +
1309
2000
x × 11 +
5929
2000
( x + 11)
    The equation is reduced to :
     
21
40
x x +
231
40
x +
54
25
( x + 11) +
33
10
(
17
10
x +
77
10
) =
1309
2000
x x +
14399
2000
x +
5929
2000
( x + 11)
    Remove a bracket on the left of the equation:
     
21
40
x x +
231
40
x +
54
25
x +
54
25
× 11 +
33
10
(
17
10
x +
77
10
) =
1309
2000
x x +
14399
2000
x +
5929
2000
( x + 11)
    Remove a bracket on the right of the equation::
     
21
40
x x +
231
40
x +
54
25
x +
54
25
× 11 +
33
10
(
17
10
x +
77
10
) =
1309
2000
x x +
14399
2000
x +
5929
2000
x +
5929
2000
× 11
    The equation is reduced to :
     
21
40
x x +
231
40
x +
54
25
x +
594
25
+
33
10
(
17
10
x +
77
10
) =
1309
2000
x x +
14399
2000
x +
5929
2000
x +
65219
2000
    The equation is reduced to :
     
21
40
x x +
1587
200
x +
594
25
+
33
10
(
17
10
x +
77
10
) =
1309
2000
x x +
2541
250
x +
65219
2000
    Remove a bracket on the left of the equation:
     
21
40
x x +
1587
200
x +
594
25
+
33
10
×
17
10
x +
33
10
×
77
10
=
1309
2000
x x +
2541
250
x +
65219
2000
    The equation is reduced to :
     
21
40
x x +
1587
200
x +
594
25
+
561
100
x +
2541
100
=
1309
2000
x x +
2541
250
x +
65219
2000
    The equation is reduced to :
     
21
40
x x +
2709
200
x +
4917
100
=
1309
2000
x x +
2541
250
x +
65219
2000

    The solution of the equation:
        x1≈-4.529412 , keep 6 decimal places
        x2≈-4.216981 , keep 6 decimal places
        x3≈30.325089 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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