Wednesday, 20 June 2007

Some elementary math fundas (fundamentals)

Here's a test of some very basic math knowledge....
READ the following.. ( and yes, please comment if you have doubts on any of this)

Let a = bThen a² = aband also a² - b² = ab - b² (subtracting the same quantity from both sides of the previous equation)or (a + b)(a - b) = b(a - b)Cancelling common factors on both sides we get:
(a + b) = b
But a = b
Thus we get b + b = b
or 2b = b
ie.
2 = 1

How did we get this result?Think... you ought to know this. Its an elementary level question.

FOR THE ANSWER PLEASE HIGHLIGHT THIS BLOG ENTRY ( click and drag left mouse button)



Ans) In one of the steps, we have divided the equation by (a - b). But as a = b thus a - b = 0.And we cannot divide an equation by zero. Division by zero is not defined.... THE most basic concept of arithemetic.

6 comments:

Rohit said...

Multiplying by a 0 will also have the same effect :P

1=2
1*0=2*0
0=0

Anonymous said...

hey buddy u said that a=b so a-b =0 so u can't cancel out a-b from both sides as 0/0 is not defined..

gauravragtah said...

Correct.

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