GMAT Problem Solving Discussions

[bhavin422]

Originally Posted by abchekstylo

I choose to disagree with you ,Bhavin.
Root of a positive number CAN be positive or negative and it is so downright obvious that i don't see the point in arguing over it anymore.Why are you not getting it?Isn't root of 25 = +5 or -5?

Originally Posted by sillyfool

i dont know whether you guys will consider me senior or not
But still i will try to explain
If we take square of 5 it is 25
and for -5 it is also 25
So when we take suare root of a no. we generally put +/- sign before it
Like in quadratic equation remember the roots formula for roots
they also consider both the +ve and -ve value for D that is b^2 - 4ac
hope this clears the confusion

Sillyfool
and yes there are no stupid questions and arguments so keep discussing as
long as you ppl dont start fighting

hey sillyfool...absolutely true...more we discuss, more we learn..evtng is in good spirit..

yes..everybody knows..square of -ve is +ve..but root of positive conventionally means principal square root...which is positive...

found a few interesting links..

Square root - Wikipedia, the free encyclopedia
Square Root -- from Wolfram MathWorld
Mathwords: Square Root

hope this clears some ambiguity...keep discussing...

[abchekstylo]

Originally Posted by bhavin422

hey sillyfool...absolutely true...more we discuss, more we learn..evtng is in good spirit..

yes..everybody knows..square of -ve is +ve..but root of positive conventionally means principal square root...which is positive...

found a few interesting links..

Square root - Wikipedia, the free encyclopedia
Square Root -- from Wolfram MathWorld
Mathwords: Square Root

hope this clears some ambiguity...keep discussing...

Conventionally Bhavin?

Come on man, if u r tellin me that you will ignore the negative root just because it is not conventional, u would b really unfair to all the negative numbers out there (and that is about 50% of all the numbers on the number line u know?).

Now, i said i didnt want to argue over this coz u dont seem too inclined to understand the little fact that a positive number has 2 roots-a positive and a negative.All Im trying to do is to clear a confusion u have but then ultimately it's upto u whether u want to believe me or not.

Thanks!

[bhavin422]

Originally Posted by abchekstylo

Conventionally Bhavin?

Come on man, if u r tellin me that you will ignore the negative root just because it is not conventional, u would b really unfair to all the negative numbers out there (and that is about 50% of all the numbers on the number line u know?).

Now, i said i didnt want to argue over this coz u dont seem too inclined to understand the little fact that a positive number has 2 roots-a positive and a negative.All Im trying to do is to clear a confusion u have but then ultimately it's upto u whether u want to believe me or not.

Thanks!

dude...its not dat i am not understanding...n the other thing is that i am not arguing with u..its v much a valid discussion..

its like perception...u can either say...glass is half filled or half empty...choice is yours...
n its not about believing or not...

in terms of mathematics, whenever u solve ...its only postive root...

n keeping GMAT in mind ...
on DS ques....if ques is what is value of x???

n statement 1 is root of 25....this statement is very much sufficient to solve the problem..

[abchekstylo]

Originally Posted by bhavin422

dude...its not dat i am not understanding...n the other thing is that i am not arguing with u..its v much a valid discussion..

its like perception...u can either say...glass is half filled or half empty...choice is yours...
n its not about believing or not...

in terms of mathematics, whenever u solve ...its only postive root...

n keeping GMAT in mind ...
on DS ques....if ques is what is value of x???

n statement 1 is root of 25....this statement is very much sufficient to solve the problem..

that's the point dear.

on DS ques....if ques is what is value of x??? n statement 1 is root of 25....this statement is NOT sufficient to solve the problem..

[bhavin422]

Originally Posted by abchekstylo

that's the point dear.

on DS ques....if ques is what is value of x??? n statement 1 is root of 25....this statement is NOT sufficient to solve the problem..

nopes...it is very much sufficient....this discussion is v much alive...lets hold on for some time...lets see what others have to say?

[abchekstylo]

Originally Posted by bhavin422

nopes...it is very much sufficient....this discussion is v much alive...lets hold on for some time...lets see what others have to say?

Sure.This is interesting indeed! Let's see who is right...

For a quick recap, I said that any positive number has 2 square roots, a positive one and a negative one.
Like 25 has 2 square roots: +5 and -5.

And Bhavin, you say that a positive number has only 1 square root,the positive one.So according to you, 25 has only +5 as a root and not -5.

Comments invited from all please!

[KingCat]

Bhavin,

Conventionally, yes, we take only the positive root. But that does not mean that -5 is not a root of 25.
And as far as DS questions in GMAT or CAT, IMO, we have to consider both the roots - postive and negative.

I hope most of the guys would agree.

[sumitrocks]

In my opinion, KingCat is totally right. If you're asked the root of 25, both +/-5 will definitely have to be considered. However yes, conventionally, only the positive root is considered.

P.S. Folks, if we have a disagreement on some issue, let's try and use the PM feature to sort it out, instead of fighting it out in public. There are other users who are here to get the maximum value from this thread, and it would hurt them if we keep on disagreeing with each other.

[abchekstylo]

Originally Posted by sumitrocks

In my opinion, KingCat is totally right. If you're asked the root of 25, both +/-5 will definitely have to be considered. However yes, conventionally, only the positive root is considered.

P.S. Folks, if we have a disagreement on some issue, let's try and use the PM feature to sort it out, instead of fighting it out in public. There are other users who are here to get the maximum value from this thread, and it would hurt them if we keep on disagreeing with each other.

Hey sumit,
we were not arguing over movie reviews or something irrelevant to the thread.Bhavin here had a little misconception and i think you should help someone when u can.
And that is what this thread is all about: problem solving DISCUSSIONS.As long as it is useful to someone, it's fine.

PS:this could not be sorted in PM coz bhavin wanted SOMEONE ELSE to comment.He doesn't believe me

[bhavin422]

Originally Posted by abchekstylo

Hey sumit,
we were not arguing over movie reviews or something irrelevant to the thread.Bhavin here had a little misconception and i think you should help someone when u can.
And that is what this thread is all about: problem solving DISCUSSIONS.As long as it is useful to someone, it's fine.

PS:this could not be sorted in PM coz bhavin wanted SOMEONE ELSE to comment.He doesn't believe me

ok guys...lets put an end to this discussion...we had no intentions to spam the thread..i was looking for genuine discussions...lets move ahead and solve more problems...

yes sumit...i shall use the PM feature ...