@TR_9781963 wrote:
Yes it gets the result but later when evaluated for x it does not give answer as 15. How to make this work in prime as 15?
Not sure what you mean.
As written above, the minimize function seems to be broken in Prime for some cases where it worked OK in Mathcad.
I added some explanation to my answer above.
It looks that you can't do anything to make minimize work OK in Prime other than reporting the bug/inability to PTC support and hoping for a fix in a future version.
The three workarounds using the root function or the solve blocks work OK, but of course you would have to assign their result to a variable if you want to use it later in your calculations:

BTW, if you use root, find or minerr, you may, but you must not use the absolute value when defining the function f_min.
You may also notice the the result of the root function is even more accurate than the result of minimize in Mathcad 15, where the values at the end do not match up to the displayed accuracy but just to eight decimals:

Actually using minimize is not a good choice for this task anyway (nonetheless its a bug that Prime fails here).