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Algebra

Blazing goIITian

Joined:	23 Jan 2007
Post:	678

18 Mar 2008 21:35:38 IST

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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.

Comments (6)

Nadeem

Blazing goIITian

Joined: 25 Aug 2007

Posts: 521

18 Mar 2008 21:50:07 IST

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If u r ready to accept any other answer , I 'll give mine

. My answer is 5.

amaron

Hot goIITian

Joined: 26 Jan 2007

Posts: 156

18 Mar 2008 21:50:37 IST

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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!

arpan1

Blazing goIITian

Joined: 15 Mar 2008

Posts: 684

18 Mar 2008 21:54:22 IST

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even i am getting 5

sandeep ramesh

Blazing goIITian

Joined: 13 Mar 2008

Posts: 1183

18 Mar 2008 21:58:30 IST

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nice one nadeem and amaron :)

Abhijith

Blazing goIITian

Joined: 23 Jan 2007

Posts: 678

18 Mar 2008 22:12:51 IST

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very nice amaron! thanks guys!

Abhijith

Blazing goIITian

Joined: 23 Jan 2007

Posts: 678

18 Mar 2008 22:24:12 IST

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cant beleive i actually messed up on that one Wallbash Red

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