eureka,eureka,eureka.?

Question

if a ^ (6) - b ^ (6) = c ^ (3) - d ^ (3) like
3 ^ (6) -1 ^ (6) = 12 ^ (3) -10 ^ (3)
find the formula to find the numbers
hint :- a ^ (n) - b ^ (n) = c ^ (2) - d^(2)

Answer 1

a ^ (n) - b ^ (n) = c ^ (2) - d^(2)

c=a^(n/2) and c=b^(n/2)

as for other solutions, it's simple. a^n - b^n is a number. As long as the number do not have exactly one 2 as factor, it can be written as c^2 - d^2. There are a few possible combinations of c and d, depending on how many ways of (odd)x(odd) or (even)x(even) way of writing the number a^n - b^n as a factor (ie, 9= 3x3=(odd)x(odd) or = 9x1). in the form of (odd)x(odd) or (even)x(even), u can write the number as c^2 - d^2. to get a and b for a^n - b^n, simply use the relationship in the first part:

c=a^(n/2) and c=b^(n/2) sometimes u will get integer for c and d.. but not all times, of course!

oh, this thing is trivial.

i was away for a month or so and still, u r asking the same questions!!!

Answer 2

I live near a town called Eureka

Answer 3

If n is even, I don't care.
If n is odd, I don't care at all.

Answer 4

Yea --- English plz...

Answer 5

in english please