Find-the-number-of-triplets-x-a-b-where-x-is-a-real-number-and-a-b-belongs-to-the-set-1-2-3-4-5-6-7-8-9-such-that-x-2-a-x-b-0-where-x-denotes-the-fractional-part-of-real-number-x-

Question Number 122095 by Anuragkar last updated on 14/Nov/20

F i n d t h e n u m b e r o f t r i p l e t s (x / a / b) w h e r e x

i s a r e a l n u m b e r a n d (a / b) b e l o n g s t o t h e s e t

{1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9} s u c h t h a t

x^{2} - a {x} + b = 0

w h e r e {x} d e n o t e s t h e f r a c t i o n a l p a r t o f r e a l n u m b e r x