1 5 5
: -
-
- Apr 2012
- 14804
- -
- 0.11
- 598
Thanked: 119-
-
- Apr 2012
- 14804
- -
- 0.11
- 598
Thanked: 119
:
^2 + ^2 + 3 + 3 = 8
+ 4 + 4 = 2
+ 4 + 4 = 2
= 2 - 4*( + ) (1)
^2 + ^2 + 3 + 3 = 8
[( + )^2 - 2 ] + 3*( + ) = 8
( + )^2 + 3*( + ) = 8 + 2 (2)
(1) (2)
( + )^2 + 11*( + ) - 12 = 0
( + ) =
^2 + 11 - 12 = 0
( - 1)( + 12) = 0
= 1
+ = 1
= 2 - 4*1 = - 2 = - 2/
- 2/ + - 1 = 0
1/*(^2 - - 2) = 0
1/ = 0
^2 - - 2 = 0
= 2 = - 1
= - 1 = 2
= - 12
+ = - 12
= 2 - 4*(- 12) = 50 = 50/
50/ + + 12 = 0
1/* ( ^2 + 12 + 50 ) = 0
^2 + 12 + 50 = 50
= [- 12 + - (144 - 4*1*50) / 2
= [-12 + - - 56]/2
= - 6 + 14 () = 7 - 14
= - 6 - 14 () = 7 + 14
-
- Apr 2012
- 14804
- -
- 0.11
- 598
Thanked: 119
( ) = ^4 - 2 ^3 + 4 ^2 + +
() ( - 1)( - 1) : = 0
:
= ^2 + 3
= ( + 6 ) + ( - 3) = 0
:
= - 6
= 3
:
( - )( - ) = ^2 + 3
^2 - ( + ) + = ^2 + 3
+ = 0 = -
= 3
- ^2 = 3 = 3
= - 3
-
- Apr 2012
- 14804
- -
- 0.11
- 598
Thanked: 119
+ 2 - 2 = - 1 ... ... ... ... ... (1)
2 + - = 1 ... ... ... ... ... .... (2)
3 - 2 + 4 = 11 ... ... ... ... ... (3)
(1) (3) 2 = 5 -
(2) 2 - = 4
(3)
= 1
= 2
= 3
:
(1) ( - ) = - (1 + )/2
(2)
2 + ( - ) = 1 = 1
- = - 1 = + 1
(3)
3*1 - 2* + 4*( + 1) = 11
3 + 2 + 4 = 11 = 2
= 3
= + = +
| - |^2 + | + |^2 = 2 ( | |^2 + | |^2 )
= (^2 + ^2)
= (^2 + ^2)
- = ( + ) + (- - ) = ( - ) + *( - )
+ = ( + ) + ( + ) = ( + ) + *( + )
[ - ] = [( - )^2 + ( - )^2]
[ + ] = [( + )^2 + ( + )^2]
| - |^2 + | + |^2 = [( - )^2 + ( - )^2] + [( + )^2 + ( + )^2]
= 2*(^2 + ^2) + 2*(^2 + ^2) = 2*( | |^2 + | |^2 )
########
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#########
- /
^2 = 12 ^2 = 6 ^2 = 18
(1 )
( 2) + +
^2 = 12 ... ... ... (1)
^2 = 6 ... ... ... .(2)
^2 = 18 ... ... ... (3)
(1) (2) ... ... / = 2
(2) (3) ... ... / = 3
(1) (3) ... ... / = 3/2
(1)
^2 * /2 * 3 /2 = 3/4 * ^4 = 12
^4 = 4 * 12 / 3 = 16
= + - 2
(2)
= + - 1
(3)
= + - 3
:
( 2 1 3 ) ( - 2 - 1 - 3 )
* * = 6 - 6
+ + = 6 - 6
:
[ (+1)/(-1)]^3 -3 [ (+1)/(-1)]^2 +[ (+1)/(-1)]+1 = 0
[( + 1)/( - 1)] =
^3 - 3 ^2 + + 1 = 0
( - 1)(^2 - 2 - 1) = 0
= 1
( + 1)/( - 1) = 1 ... ...
(^2 - 2 + 1) = 0
= 1 + 2 ... = 1 - 2
( + 1)/( - 1) = 1 + 2
+ 1 = (1 + 2)* - 1 - 2
= 2 + 1
( + 1)/( - 1) = 1 - 2
+ 1 = (1 - 2)* - 1 + 2
= 2 - 1
= + = ω + ω2 = ω2+ ω
1 ω ω2
: = 3 + 3
:
( + 1 ) ( /10 ) = 3
( + 1) ( - 1) = 3
( )^2 - 1 = 3
( )^2 = 4
= + 2 > = 100
= - 2 > = 1/100
:
^2 + + = 0 =/= 0
:
^2 - ( ) + = 0
^2 + + = 0
^2 + (/)* + (/) = 0 ..................(1)
:
( _ )*( - ) = 0
^2 - * - * + * = 0
^2 - ( + )* + * = 0 ...................(2)
(1) (2)
/ = - ( + ) = - ( )
/ = * =
:
^2 - ( )* + ( ) = 0
119 8
=
^2 - 119 = 10( - 8) = 10 - 80
^2 - 10 - 39 = 0
( - 13)( + 3) = 0
= 13 = - 3
2106
:
=
=
= 5
^2 + ^2 = 2106
26 ^2 = 2106
^2 = 81
= 9
= 45
( 15 56 )
:
15/56 = (8 + 7) (8 7) = 1/7 1/8
: 7 8
15/56 = [15 *(8 - 7)] [8 7] = 15/7 - 15/8
: 7/15 - 8/15
:
:
- = 1 ........... : = 1 +
1/ + 1/ = 15/56
( + )/* = 15/56
(1 + 2 ) 56 = ( + ^2) 15
15 ^2 - 97 - 56 = 0
= 7 ............. : = 8
= - 8/15 ........ : = 7/15
17 ɿ
=
+ 17 = 60 /
^2 + 17 - 60 = 0
( - 3)( + 20) = 0
= 3 = - 20
:
:
^2 - ( )* + ( ) = 0
^2 + 17 - 60 = 0
^2 - (- 17)* + (- 60) = 0
- 17 = - 20 + 3
- 60 = - 20 3
= 3 = - 20
9 81
:
+ = 9 ( - )
^2 - ^2 = 81
( - )( + ) = 81
9 ( - )^2 = 81
( - )^2 = 9
( - ) = + 3 - 3
( - ) = 3
: ( + ) = 27
:
= 15 = 12
( - ) = - 3
: ( + ) = - 27
:
= - 15 = - 12
=
+ ^2 = 9 ( + 1)
^2 - 8 - 9 = 0
^2 - [(9 + (- 1)]* + (9 - 1) = 0
= 9 = - 1
:
(+1) 3 + (+4) 3 = 1 + 7 3
(2-1) 9 + (-2) 9 = 1/2
(+1) 3 + (+4) 3 = 1 + 7 3
[( + 1)( + 4)] 3 = [3 7] 3
:
( + 1)( + 4) = 21 ........................... (1)
(2-1) 9 + (-2) 9 = 1/2
[(2 - 1)( - 2)] 9 = 1/2 = [9^1/2] 9
:
(2 - 1)( - 2) = 9^1/2 = 3 ................... (2)
(1) (2)
:
= 6
= 6/ (2)
4 ^2 - 11 + 6 = 0
:
= 2 > = 3
= 3/4 > = 8
41
:
:
+ = 1 > ( + )^2 = 1
^2 + ^2 + 2 = 1
:
^2 + ^2 = 41
:
41 + 2 = 1 > = - 20
= 1 -
( 1 - ) = - 20
^2 - - 20 = 0
( - 5 ) ( + 4 ) = 0
= 5 > = - 4
= - 4 > = 5
: - 4 5
1 16
1 16 : 8 16
8 1
16 9
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#########
-
$$$$$$$$
#######
-
- Apr 2012
- 14804
- -
- 0.11
- 598
Thanked: 119
-
3 ^4 - 5 ^2 - 2 =
(3^2 + 1)(^2 - 2) = 0
(3^2 + 1) = 0 ... ... ... = + - /3
(^2 - 2) = 0 ... ... ... = + - 2
( )
( ) = ( + 1 ) ^3 - 2 ^2 +
( - 2 ) 9
:
( + 1 ) ^3 - 2 ^2 + - 9 + 9 =
( + 1 ) ^3 - 2 ^2 - 8 + 9 =
( - 2 )*[ ( + 1) ^2 + 2 + 4 ] + 9
( - 2 ) = 9
= 1
[( + 1 ) ^3 - 2 ^2 + ]/( - 2) =
[ 2^3 - 2^2 + 1]/( -2) = 2*( - 1)( + 2) + 9/( - 2)
- : ^2 +/- * + ^2 >/= 0
( + )^2 = ^2 + ^2 + 2 *
* = 1/2*[( + )^2 - (^2 + ^2)]
( - )^2 = ^2 + ^2 - 2 *
- * = 1/2*[( - )^2 - (^2 + ^2)]
:
^2 + * + ^2 = ^2 + 1/2*[( + )^2 - (^2 + ^2)] + ^2
= 1/2*[( + )^2 + (^2 + ^2)] > 0
^2 - * + ^2 = ^2 + 1/2*[( - )^2 - (^2 + ^2)] + ^2
= 1/2*[( - )^2 + (^2 + ^2)] > 0
= = 0
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-
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[/CENTER]
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