time saver pack 2 - Algebra at its best

Blazing goIITian

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9 Apr 2009 21:20:24 IST
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9 Apr 2009 21:20:24 IST
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time saver pack 2 - Algebra at its best

 Here's the second pack...

Algebra at its shortest best...

An equation axn + bxn-1 + cxn-2 + dxn-3 + ............................. + Qx + P = 0

will have n roots and sum of the roots--->

1. Taken 1 at a time =  

2. Taken 2 at a time = 

3. Taken 3 at a time = 

Taken n at a time = 

If n is odd sum will be negative, if n is even it will be positive.

**************************************************************************

A quadratic equation f(x) = ax2 + bx +c 

will be

1.   real

        Iff D = b2 - 4ac < 0

 

2. 

         = 

         When b2 - 4ac > 0

*************************************************************************

If b2 - 4ac > 0 and a > 0 then

-----------------f(x) > 0 for x <  or x < 

                       f(x) < 0 for  < x < 

                       f(x) = 0 for x =  or 

If b2 - 4ac > 0 and a < 0 then

-----------------f(x) < 0 for x <  or x > 

                       f(x) > 0 for  < x < 

                       f(x) = 0 for x =  or 

************************************************************************

If a > 0 then f(x) has least value at x = -b/2a

and value =

If a < 0 then f(x) has maximum value at x = -b/2a

and value = 

That's it.

Rate and comments awaited.

Watch out for pack 3

With nastiness

Mr. Nasty

 

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Blazing goIITian

Joined: 16 Jan 2009 18:51:57 IST
Posts: 1041
9 Apr 2009 21:21:59 IST
0 people liked this

Please point out errors by nudging me..

Blazing goIITian

Joined: 16 Jan 2009 18:51:57 IST
Posts: 1041
9 Apr 2009 22:23:37 IST
0 people liked this

.....

Hot goIITian

Joined: 6 Feb 2009 23:07:22 IST
Posts: 146
9 Apr 2009 22:35:43 IST
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AMAZING WORK....WAITING 4 PACK 3......POST EARLIEST....

Blazing goIITian

Joined: 16 Jan 2009 18:51:57 IST
Posts: 1041
10 Apr 2009 18:44:32 IST
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no more views???

Blazing goIITian

Joined: 2 Sep 2007 11:45:43 IST
Posts: 383
10 Apr 2009 18:54:41 IST
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hey really nice..keep it up

Blazing goIITian

Joined: 16 Jan 2009 18:51:57 IST
Posts: 1041
10 Apr 2009 19:58:30 IST
0 people liked this

...

Blazing goIITian

Joined: 16 Jan 2009 18:51:57 IST
Posts: 1041
10 Apr 2009 20:40:11 IST
0 people liked this

.......

Blazing goIITian

Joined: 7 May 2007 12:59:06 IST
Posts: 1724
10 Apr 2009 20:57:14 IST
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HEY. ITS REALLY GOOD. WILL HELP EVERYBODY.

Cool goIITian

Joined: 24 Jan 2009 13:38:54 IST
Posts: 42
10 Apr 2009 21:44:37 IST
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bad infact worse
10 Apr 2009 21:44:54 IST
0 people liked this

heyy this is really helpful !!! KEEP IT UP ...

Blazing goIITian

Joined: 16 Jan 2009 18:51:57 IST
Posts: 1041
10 Apr 2009 22:43:11 IST
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Thanks Abhishek aka Banga....

Blazing goIITian

Joined: 16 Jan 2009 18:51:57 IST
Posts: 1041
10 Apr 2009 23:06:11 IST
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more awaited

Blazing goIITian

Joined: 21 Oct 2008 12:29:14 IST
Posts: 855
11 Apr 2009 09:55:25 IST
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gud.

Blazing goIITian

Joined: 6 May 2008 12:31:04 IST
Posts: 924
11 Apr 2009 11:06:50 IST
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Gud job Mr. Nasty!~ :)

Blazing goIITian

Joined: 16 Jan 2009 18:51:57 IST
Posts: 1041
11 Apr 2009 18:33:45 IST
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Best of Luck Everyone....

Blazing goIITian

Joined: 16 Jan 2009 18:51:57 IST
Posts: 1041
18 Apr 2009 12:47:10 IST
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Still awaiting review....:(

Blazing goIITian

Joined: 11 Mar 2009 20:15:19 IST
Posts: 5517
18 Apr 2009 18:46:47 IST
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we want more!!!!!!MORE!MORE!MORE!

Hot goIITian

Joined: 11 Jan 2008 17:00:47 IST
Posts: 128
20 Apr 2009 10:44:28 IST
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Good for revision

Blazing goIITian

Joined: 16 Jan 2009 18:51:57 IST
Posts: 1041
5 May 2009 11:40:57 IST
0 people liked this

Just revising.......



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