Question

dont need weird mathematics :)
\[f(x)=\sqrt{x^2-2x+10}-\sqrt{x^2-2x+2}\]
find all \(x \in \mathbb{R}\) such that \(f(x) \in \mathbb{N}\)

Answer 1

@sauravshakya @ganeshie8 @eliassaab @TuringTest

Answer 2

x=1,\[\frac{ -1-\sqrt{5} }{2 }\],
\[\frac{-1+\sqrt{5} }{2 }\]

Answer 3

is that it?

Answer 4

let me check it :)

Answer 5

u are close :) but dont tell the answer plz...so others can think on that :)

Answer 6

Ok fine. Thanks :)

Answer 7

So only when x=1 or are there any other value..... I think yes because irrational-irrational can be integer

Answer 8

some other values...

Answer 9

I mean are there any other values of x

Answer 10

yeah there are.

Answer 11

dont post ur solution :) just values of x

Answer 12

Ok

Answer 13

So I delete it and send u msg for the vaues of x

Answer 14

no give the values of x here :)