Question

MOD

Answer 1

O.o

Answer 2

\[\huge\left| x-1 \right|+\left| x-2 \right| ...\left| x-500 \right| = 10000\]
value of x

Answer 3

Is this possible , I framed the question

Answer 4

It is not a textbook question

Answer 5

@ganeshie8

Answer 6

Are you still here @ganeshie8

Answer 7

Interesting question ... I don't think it's possible, at least not if the sum is equal to 10,000. Make it larger and it should work. Consider the plots:

http://www.wolframalpha.com/input/?i=Sum%5B%7Cx-k%7C%2C%7Bk%2C1%2C5%7D%5D

http://www.wolframalpha.com/input/?i=Sum%5B%7Cx-k%7C%2C%7Bk%2C1%2C10%7D%5D

http://www.wolframalpha.com/input/?i=Sum%5B%7Cx-k%7C%2C%7Bk%2C1%2C50%7D%5D

http://www.wolframalpha.com/input/?i=Sum%5B%7Cx-k%7C%2C%7Bk%2C1%2C250%7D%5D