(Untitled)

[rohitz]

-6 = -6

9-15 = 4-10

adding 25/4 to both sides:

9-15+25/4 = 4-10+25/4

Changing the order

9+25/4-15 = 4+25/4-10

(a-b)square form.

Here a = 3, b=5/2 for L.H.S and a =2, b=5/2 for R.H.S.

So it can be expressed as follows:

(3-5/2)(3-5/2) = (2-5/2)(2-5/2)

Taking positive square root on both sides:

3 - 5/2 = 2 - 5/2

3 = 2 ????????

Comments

[chirag]

I am not a math guru but what I think is this happens when you treat mathematical numbers like variables for algebra. Ideally mathematical number should not be used as variable for algebra. That is the reason we used stuff like alpha, beta, theta, a, b, c and x, y, z etc in algebra during school.

[rohitz]

Do u know about other similar stuff ?

[chirag]

No ... nothing off the head but one thing I know that in the past people have proved things like 1 = 2 with similar algebra logic couple with squares and square roots using numbers as variables.

I bet similar stuff cannot proved by taking two variables a and b.

People use stuff like: using number as variables, not considering the negative result of square root of a number etc.

People also put spice and pepper with things like "Even Ramanujan was not able to figure out what is wrong" :) etc etc.

[rohitz]

> "Even Ramanujan was not able to figure out what is wrong"
I recvd the above thru a mail which had "It seems, Ramanujam found it but never disclosed it during his life time and that it has been found from his dairy."

[skjaidev]

You can't take positive square root on both sides!

i.e., if a^2 = b^2 then a = +b OR a = -b. a can't be equal to both +b and -b.

In this case
3 - 5/2 = -(2 - 5/2)
1/2 = 1/2