IIT JEE , AIEEE Forum - Mathematics , Algebra

fused_bulb

Determine all possible values of

[ a/(a+b+d) + b/(a+b+c) + c/(b+c+d) + d/(a+c+d) ] for positive reals a, b, c, d.

REQUEST - THIS POST IS NOT FOR PEOPLE WHO HAVE SOLVED THIS Q. BEFORE OR HAVE AN IDEA FROM WHERE TO GET THE SOLUTION ( BY SOME UNKNOWN REFERENCES .............. )

NOTE : I HAVE POSTED THE SOLN. ON PAGE 4 OF THIS POST SINCE NOBODY WAS ABLE TO SOLVE IT .

IF ANY NEW USER IS INTERESTED IN SOLVING IT , PLZ. DONT SEE PAGE 4 ( B HONEST YAAR) . 20 RATES ARE STILL UP FOR GRABS..............

fused_bulb

C'MON EVERYBODY.........

fused_bulb

ANY REPLIES..........

fused_bulb

SHOULD I POST THE NEXT CHALLENGING Q.

fused_bulb

OK , NOT TRYING TO SHOW THAT I AM A GENIUS

BUT IS ANYONE INTERESTED IN THE ABOVE PROBLEM.............

nick

shoul,nt the above eq. equated to something?????
this can have infinite solutions!!!

Avinash_Bhat

HEY....................

I AM REALLY INTERESTED IN YOUR SUPERB QUESTION.

BUT THE ONLY PROLEM IS THAT : I AM INTERESTED IN YOUR QUESTION.

HI , I WOULD .... LIKE TO ........ KNOW THE ........ ANSWER , NO , THE METHOD OF DOING THIS ONE.

fused_bulb

nick ,
BASICALLY , U HAVE TO TELL THE RANGE OF THIS EXPRESSION.

this is an expression which will only take values within a finite range like [ for eg. (15,16) ]

AND TO AVINASH_BHAT

THANX YAAR FOR UR INTEREST.....
I WUD REVEAL THE ANSWER SHORTLY......
JUST FOR SOME OTHERS TO GIVE IT A TRY.............
HOPE U UNDERSTAND...........

Avinash_Bhat

NICE YAAR !!!!!!

I AM IN A REAL HURRY. AND I DON'T HAVE ANY TIME TO THINK OVER THIS ONE. THAT'S WHY ...............

YOU GOT ME ???????

I HOPE THAT , THE SOLUTION WILL BE THERE WITHIN TWO DAYS ..... STILL I WILL BE TRING ALL THE TIME.

CHEERS !!!!!!!!!!!!!!!!!!!!!!!!!!!

avikal

Well friends I reckon Mr Fused Bulb doesn't play the gentleman - Just see the post www.goiit.com/posts/list/algebra-i-swear-by-god-u-wont-solve-this-12790.htm
and you will understand. He posted a question and (that was without a statutory warning for guys who know the answer already) when someone answered, he did not have the good grace to acknowledge but kept on harping how is good question was 'spoilt'.

fused_bulb

OK AVIKAL ,

I UNDERSTAND UR FEELINGS..

BUT C , HE HAD AN IDEA ABOUT THE QUESTION ( i. e. he had done it previously ) AND EVEN I DIDNT
FEEL 2 GOOD WHEN I DIDNT RATE HIM.

IT IS FOR THIS VERY REASON THAT I HAVE PUT A " REQUEST "
ALONGSIDE MY QUESTION THIS TIME .

AND TO PROVE THAT I AM HONEST , I GAVE AMANGEM ( ANOTHER USER ) 5 RATING PTS WHEN HE SOLVED MY PROBLEM.

HOPE U TRUST ME.............

avikal

Well that explains... I believe you.. no hard feelings yaar.

fused_bulb

CHEERS.........

ompatri

one value can be 4/3 for sure. if we put a=b=c=d

fused_bulb

OMPATRI

UR RIGHT BUT I WANT THE ENTIRE RANGE ............

Ask & Discuss Questions with Community & Experts