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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 0.5*(6.62-x)*((9-x)*8.82-21) = 650 .
    Question type: Equation
    Solution:Original question:
     
1
2
(
331
50
x )((9 x ) ×
441
50
21) = 650
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
2
×
331
50
((9 x ) ×
441
50
21)
1
2
x ((9 x ) ×
441
50
21)
                                             =
331
100
((9 x ) ×
441
50
21)
1
2
x ((9 x ) ×
441
50
21)
                                             =
331
100
(9 x ) ×
441
50
331
100
× 21
1
2
x ((9 x ) ×
441
50
21)
                                             =
145971
5000
(9 x )
6951
100
1
2
x ((9 x ) ×
441
50
21)
                                             =
145971
5000
× 9
145971
5000
x
6951
100
1
2
x ((9 x ) ×
441
50
21)
                                             =
1313739
5000
145971
5000
x
6951
100
1
2
x ((9 x ) ×
441
50
21)
                                             =
966189
5000
145971
5000
x
1
2
x ((9 x ) ×
441
50
21)
                                             =
966189
5000
145971
5000
x
1
2
x (9 x ) ×
441
50
+
1
2
x × 21
                                             =
966189
5000
145971
5000
x
441
100
x (9 x ) +
21
2
x
                                             =
966189
5000
93471
5000
x
441
100
x (9 x )
                                             =
966189
5000
93471
5000
x
441
100
x × 9 +
441
100
x x
                                             =
966189
5000
93471
5000
x
3969
100
x +
441
100
x x
                                             =
966189
5000
291921
5000
x +
441
100
x x
    The equation is transformed into :
     
966189
5000
291921
5000
x +
441
100
x x = 650

    The solution of the equation:
        x1≈-5.520999 , keep 6 decimal places
        x2≈18.760046 , 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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