problem in transferring something one side to another side

[AsadA969]

Source: Self-made

What is the value of p?
(1) p^2=100
(2) p=root over 100


Ron, is it legitimate question for GMAT? if yes, then is there any mistake in my understanding?

statement 1: p=+/- 10
------> insufficient...
statement 2: p=10
------->sufficient
So, correct option is 'B'.

here, i'm giving an analogy to understand it by myself more from you....
example: x+3=13
------------->x=13-3 (if we transfer 3 from let hand side to right hand side, then it (3) makes the right hand site 10)
------------->x=10..............(1)

again,
x+3=13
---->x+3-3=13-3 (subtracting 3 from both side)
----->x=10....................(2)
equation (1) and (2) keep the same result. But, in my original statement 1 ((1) p^2=100), why don't we transfer ''Squared'' in the right hand side? if we transfer ''Square'' in the right hand side, it'll give the same result 10 as statement 2! Then, the correct option will be ''D": both statement will be individually sufficient.

i try to make creativity specially in mathematics not in verbal part. So, doing creativity in mathematics is wrong way for proper learning?
Thanks...

[tim]

I think the problem here is one of terminology. There is no such thing in math as "transferring" something. You must always have a specific mathematical function in mind when you do something to an equation. When x+3=13 turns into x=13-3 what you have done is *subtract 3* from both sides; you have not "transferred" anything. Once you understand that, you need to understand further that there are some things you cannot do to both sides. You cannot multiply or divide them both by 0 for instance. You also cannot take the square root of both sides.

Being creative in math is the single best thing you can do. But you cannot just make up things that aren't true; you still have to work within the rules.