how many integer solutions are there : ⌊ (1/(2+(√x)))⌋ = 3 ■


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Question Number 155144 by mnjuly1970 last updated on 26/Sep/21

$h o w m a n y i n t e g e r s o l u t i o n s$ $a r e t h e r e :$ $⌊ \frac{1}{2 + \sqrt{x}} ⌋ = 3 ◼$
Commented by mr W last updated on 26/Sep/21

$n o i n t e g e r s o l u t i o n a n d e v e n$ $n o r e a l s o l u t i o n!$ $s i n c e x ⩾ 0 \Rightarrow 2 + \sqrt{x} ⩾ 2$ $\Rightarrow 0 < \frac{1}{2 + \sqrt{x}} ⩽ \frac{1}{2}$ $\Rightarrow ⌊ \frac{1}{2 + \sqrt{x}} ⌋ = 0 \neq 3$
Commented by mnjuly1970 last updated on 26/Sep/21

$g r a t e f u l . . . m r W$
Commented by talminator2856791 last updated on 26/Sep/21

$is the question supposed to be$ $⌊ \frac{1}{2 - \sqrt{x}} ⌋ = 3$ $?$
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