|

Algebra

Cool goIITian

 Joined: 21 Mar 2012 Post: 37
2 Apr 2012 22:14:59 IST
0 People liked this
9
359
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Algebra

Solve the equationx|x+1 |+ a=0 for every real number 'a'

Blazing goIITian

Joined: 21 Mar 2012
Posts: 1457
2 Apr 2012 22:18:07 IST
0 people liked this

options

Blazing goIITian

Joined: 21 Mar 2012
Posts: 1457
2 Apr 2012 22:19:07 IST
0 people liked this

i think x=-1+_a

Cool goIITian

Joined: 21 Mar 2012
Posts: 37
2 Apr 2012 22:28:55 IST
0 people liked this

answer is  x={-1/2-(1-4a)^1/2/2 for all a<=1/4  ,  -1/2-(1-4a))^1/2/2 for 0<=a<=1/4

Cool goIITian

Joined: 21 Mar 2012
Posts: 37
2 Apr 2012 22:30:10 IST
0 people liked this

please anyone suggest me the method to solve this

Blazing goIITian

Joined: 21 Mar 2012
Posts: 1457
2 Apr 2012 22:39:35 IST
0 people liked this

what is differnce btw, the two

Blazing goIITian

Joined: 21 Mar 2012
Posts: 1457
2 Apr 2012 22:40:10 IST
0 people liked this

i think its from rd sharma

Blazing goIITian

Joined: 21 Mar 2012
Posts: 1457
2 Apr 2012 22:52:00 IST
0 people liked this

i can provide u full proof solution so tht u can belirve me

Blazing goIITian

Joined: 21 Mar 2012
Posts: 1457
2 Apr 2012 23:03:12 IST
0 people liked this

and yes a cant be positive ever due to /x+1/=-a and modulus function always gives +ve value so a cant be >0 but in answer a>0 what a joke lolzzzzzzzzz

Cool goIITian

Joined: 29 Mar 2012
Posts: 62
5 Apr 2012 12:22:47 IST
0 people liked this

See easy one.but a very important concept.

is a modulus fn. x can be negative or a positive value.therefore we have three situations.

1 when x.>-1

then the modulus becomes positive and we have.

x+1+a=0

thereforea=-(x+1)

2.when x=-1

a=0

3.when x<-1

mod opens and term is neghatve.

a=x+1

 Some HTML allowed. Keep your comments above the belt or risk having them deleted. Signup for a avatar to have your pictures show up by your comment If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team

## For Quick Info

Name

Mobile

E-mail

City

Class

Vertical Limit

Top Contributors
All Time This Month Last Week
1. Bipin Dubey
 Altitude - 16545 m Post - 7958
2. Himanshu
 Altitude - 10925 m Post - 3836
3. Hari Shankar
 Altitude - 10085 m Post - 2217
4. edison
 Altitude - 10825 m Post - 7804
5. Sagar Saxena
 Altitude - 8635 m Post - 8064
 Altitude - 6330 m Post - 1958

Physics

Topics

Mathematics

Chemistry

Biology

Institutes

Parents Corner

Board

Fun Zone