ManagementParadise.com | Management & Business Education Learning Platform CAT, XAT, MAT, CET, JMET and other Indian MBA Entrance Exams > Quant Math Formlae and Shortcuts

# Math Formlae and Shortcuts

Discuss Math Formlae and Shortcuts within the Quant forums, part of the CAT, XAT, MAT, CET, JMET and other Indian MBA Entrance Exams category; ------------- THEORY OF EQUATIONS: ----------------------------- (1) If an equation (i:e f(x)=0 ) contains all positive co-efficients of any powers of ...

 Math Formlae and Shortcuts
gaurav200x

Student of Bachelor of Engineering
Status: Offline
Posts: 3,821
Join Date: Feb 2006
Age: 37
Math Formlae and Shortcuts - October 27th, 2006

-------------
THEORY OF EQUATIONS:
-----------------------------

(1) If an equation (i:e f(x)=0 ) contains all positive co-efficients of any powers of x , it has no positive roots then.
eg: x^4+3x^2+2x+6=0 has no positive roots .

(2) For an equation , if all the even powers of x have some sign coefficients and all the odd powers of x have the opposite sign coefficients , then it has no negative roots .

(3)Summarising DESCARTES RULE OF SIGNS:

For an equation f(x)=0 , the maximum number of positive roots it can have is the number of sign changes in f(x) ; and the maximum number of negative roots it can have is the number of sign changes in f(-x) .
Hence the remaining are the minimum number of imaginary roots of the equation(Since we also know that the index of the maximum power of x is the number of roots of an equation.)

(4) Complex roots occur in pairs, hence if one of the roots of an equation is 2+3i , another has to be 2-3i and if there are three possible roots of the equation , we can conclude that the last root is real . This real roots could be found out by finding the sum of the roots of the equation and subtracting (2+3i)+(2-3i)=4 from that sum. (More about finding sum and products of roots next time )

Regards,
Gaurav Mittal

To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.

Problems in Life? -
To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.
!!
To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.

To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.

Would u like to see
To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.
Blog Updated !!!
To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.

To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.

ONLINE GD -
To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.

To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.

To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.

To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.

To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.

Liked my post? Press the
To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts.
button

Friends: (5)
 The Following 16 Users Say Thank You to For This Useful Post:
 Re: Math Formlae and Shortcuts
 The Following 5 Users Say Thank You to For This Useful Post:
 Re: Math Formlae and Shortcuts
 The Following 6 Users Say Thank You to For This Useful Post:
 Re: Math Formlae and Shortcuts
 The Following 6 Users Say Thank You to For This Useful Post:
 Re: Math Formlae and Shortcuts
 The Following 6 Users Say Thank You to For This Useful Post:
 The Following 15 Users Say Thank You to For This Useful Post:
 The Following 13 Users Say Thank You to For This Useful Post:
 Re: Math Formlae and Shortcuts
 The Following 8 Users Say Thank You to For This Useful Post:
 Re: Math Formlae and Shortcuts
 (9 (permalink)) A Bag    Institute: Cardean University Status: Offline Posts: 1 Join Date: Apr 2007 Re: Math Formlae and Shortcuts - August 29th, 2007 This is a very helpful thread. Nice to see the postings here! MBABABA Friends: (0)
 The Following 3 Users Say Thank You to For This Useful Post:
 Re: Math Formlae and Shortcuts
mmchakravarthy

Status: Offline
Posts: 2
Join Date: Aug 2006
Re: Math Formlae and Shortcuts - August 29th, 2007

tnx dude......da info was greaT!!!
Quote:
 Originally Posted by gaurav200x Another ebook on Quant Formulae. Enjoy !!
Friends: (0)
 The Following 2 Users Say Thank You to For This Useful Post:

 Bookmarks

Related to Math Formlae and Shortcuts

Sagar Dhadve GMAT 1 December 31st, 2015 01:53 AM
nick18_in Articles !! 6 December 6th, 2006 01:51 PM
indrajit_v5 LaUghTeR AccEleRatED , Just CHILL !! 0 September 21st, 2006 12:21 PM
vengabeats LaUghTeR AccEleRatED , Just CHILL !! 0 June 8th, 2006 09:28 PM

 Thread Tools Display Modes Linear Mode

 Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is OnTrackbacks are On Pingbacks are On Refbacks are Off Forum Rules

ManagementParadise.com is not responsible for the views and opinion of the posters. The posters and only posters shall be liable for any copyright infringement.

Search Engine Optimization by vBSEO ©2011, Crawlability, Inc.