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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 （1.5m-5.5)(5.5+0.5m)(11-m)(11-m) = (22-4m)(22-4m) .
    Question type: Equation
    Solution:Original question:
     (
3
2
 m −
11
2
)(
11
2
 +
1
2
 m )(11 − m )(11 − m ) = (22 − 4 m )(22 − 4 m )
    Remove the bracket on the left of the equation:
     Left side of the equation =
3
2
 m (
11
2
 +
1
2
 m )(11 − m )(11 − m ) −
11
2
(
11
2
 +
1
2
 m )(11 − m )(11 − m )
                                             =
3
2
 m ×
11
2
(11 − m )(11 − m ) +
3
2
 m ×
1
2
 m (11 − m )(11 − m ) −
11
2
                                             =
33
4
 m (11 − m )(11 − m ) +
3
4
 m m (11 − m )(11 − m ) −
11
2
(
11
2
 +
1
2
 m )(11 − m )
                                             =
33
4
 m × 11(11 − m ) −
33
4
 m m (11 − m ) +
3
4
 m m (11 − m )
                                             =
363
4
 m (11 − m ) −
33
4
 m m (11 − m ) +
3
4
 m m (11 − m )(11 − m )
                                             =
363
4
 m × 11 −
363
4
 m m −
33
4
 m m (11 − m ) +
3
4
 m
                                             =
3993
4
 m −
363
4
 m m −
33
4
 m m (11 − m ) +
3
4
 m m
                                             =
3993
4
 m −
363
4
 m m −
33
4
 m m × 11 +
33
4
 m m
                                             =
3993
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             =
3993
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             =
3993
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             =
3993
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             =
3993
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             =
3993
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             =
3993
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             =
3993
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             =
3993
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             =
3993
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             =
3993
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             =
3993
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             =
3993
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             = 1331 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             = 1331 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             = 1331 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m
                                             =
6655
4
 m −
363
4
 m m −
363
4
 m m +
33
4
 m m m

    The solution of the equation:
        m1≈-11.794284 , keep 6 decimal places
        m2≈3.750867 , keep 6 decimal places
        m3≈9.347179 , keep 6 decimal places
        m4≈13.362905 , keep 6 decimal places    
    There are 4 solution(s).

解程的详细方法请参阅：《方程的解法》


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