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


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Question Number 122095 by Anuragkar last updated on 14/Nov/20
$Find the number of triplets(x/a/b) where x is a real number and (a/b) belongs to the set {1/2/3/4/5/6/7/8/9} such that x^2 −a{x}+b =0 where {x} denotes the fractional part of real number x$
$F i n d t h e n u m b e r o f t r i p l e t s (x / a / b) w h e r e x$ $i s a r e a l n u m b e r a n d (a / b) b e l o n g s t o t h e s e t$ ${1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9} s u c h t h a t$ $x^{2} - a {x} + b = 0$ $w h e r e {x} d e n o t e s t h e f r a c t i o n a l p a r t o f r e a l n u m b e r x$
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