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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 (2.3-x)(1.3-x)×8.315×700 = 13.87(0.7+x)×101.33×10 .
    Question type: Equation
    Solution:Original question:
     (
23
10
x )(
13
10
x ) ×
1663
200
× 700 =
1387
100
(
7
10
+ x ) ×
10133
100
× 10
     Left side of the equation = (
23
10
x )(
13
10
x ) ×
11641
2
    The equation is transformed into :
     (
23
10
x )(
13
10
x ) ×
11641
2
=
1387
100
(
7
10
+ x ) ×
10133
100
× 10
    Remove the bracket on the left of the equation:
     Left side of the equation =
23
10
(
13
10
x ) ×
11641
2
x (
13
10
x ) ×
11641
2
                                             =
267743
20
(
13
10
x ) x (
13
10
x ) ×
11641
2
                                             =
267743
20
×
13
10
267743
20
x x (
13
10
x ) ×
11641
2
                                             =
3480659
200
267743
20
x x (
13
10
x ) ×
11641
2
                                             =
3480659
200
267743
20
x x ×
13
10
×
11641
2
+ x x ×
11641
2
                                             =
3480659
200
267743
20
x x ×
151333
20
+ x x ×
11641
2
                                             =
3480659
200
104769
5
x + x x ×
11641
2
    The equation is transformed into :
     
3480659
200
104769
5
x + x x ×
11641
2
=
1387
100
(
7
10
+ x ) ×
10133
100
× 10
     Right side of the equation =
14054471
1000
(
7
10
+ x )
    The equation is transformed into :
     
3480659
200
104769
5
x + x x ×
11641
2
=
14054471
1000
(
7
10
+ x )
    Remove the bracket on the right of the equation:
     Right side of the equation =
14054471
1000
×
7
10
+
14054471
1000
x
                                               =
98381297
10000
+
14054471
1000
x
    The equation is transformed into :
     
3480659
200
104769
5
x + x x ×
11641
2
=
98381297
10000
+
14054471
1000
x

    The solution of the equation:
        x1≈0.224474 , keep 6 decimal places
        x2≈5.790176 , 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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