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Algebra

Blazing goIITian

 Joined: 23 Jan 2007 Post: 678
18 Mar 2008 21:35:38 IST
0 People liked this
6
633
question.
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Algebra

.

No, not a challenge.. Can someone do this? Answer is 215 but my method runs into pages. surely, there has to be an easier method...so please try.

Blazing goIITian

Joined: 25 Aug 2007
Posts: 521
18 Mar 2008 21:50:07 IST
1 people liked this

If u r ready to accept any other answer , I 'll give mine   . My answer is 5.

Hot goIITian

Joined: 26 Jan 2007
Posts: 156
18 Mar 2008 21:50:37 IST
9 people liked this

The Problem isnt very difficult unless I am very much mistaken,

Let  a=(1+k) 1/3  and b =(k)1/3

Then the denominator reduces to  a2 + b2 + ab =( a3 - b3 )/(a-b)

But  a3 - b3     =   1

therefore substituting and by telescopic cancellation,

ans is 6 - 1 =5

That solves the problem!

Blazing goIITian

Joined: 15 Mar 2008
Posts: 684
18 Mar 2008 21:54:22 IST
0 people liked this

even i am getting 5

Blazing goIITian

Joined: 13 Mar 2008
Posts: 1183
18 Mar 2008 21:58:30 IST
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nice one nadeem and amaron :)

Blazing goIITian

Joined: 23 Jan 2007
Posts: 678
18 Mar 2008 22:12:51 IST
0 people liked this

very nice amaron! thanks guys!

Blazing goIITian

Joined: 23 Jan 2007
Posts: 678
18 Mar 2008 22:24:12 IST
0 people liked this

cant beleive i actually messed up on that one

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