I actually know the answer. It is just finding the LCM. But when I checked with my calculator, it showed me a decimal number. The method I followed was to find LCM and subtract 17 from it. Is my method correct? Or should I go with any better method? If yes, please help me.
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3We have no idea if your method is correct since you don't tell us what it is. Please edit your post to include your solution. Also: I assume you mean to restrict to the natural numbers, so $(-520\times 468-17)$ and such wouldn't be allowed, but you should say so. – lulu Jun 26 '22 at 15:40
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Oh my bad... I forgot to mention there, My method is to find the LCM and subtract 17 from it... – Tapashan TR Jun 26 '22 at 15:45
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520 is 520 and 468 is 468. There is no sign inversion or something other... – Tapashan TR Jun 26 '22 at 15:46
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What did you enter in your calculator and what is it showing? – insipidintegrator Jun 26 '22 at 15:47
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I entered the lcm subracted by 17 and divided by 468(lcm-17/468) and it shows me decimal – Tapashan TR Jun 26 '22 at 15:48
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$468,520\mid x!+!17\iff \color{#c00}{4680}\mid x!+!17\iff x = -17!+!4680n = 4663,, 9343,\ldots$ by $(468,520) = (-52,520) = 52,,$ so $[468,520]= 468(520)/52 = \color{#c00}{4680}\ \ $ – Bill Dubuque Jun 26 '22 at 15:51
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What does that 'n' mean? – Tapashan TR Jun 26 '22 at 15:53
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U mean any variable? – Tapashan TR Jun 26 '22 at 15:53
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$n$ denotes any integer. – Bill Dubuque Jun 26 '22 at 15:54
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Yes yes, got it... – Tapashan TR Jun 26 '22 at 15:54
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1Please delete the question since the math is a duplicate of many prior posts. – Bill Dubuque Jun 26 '22 at 15:55
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U mean many have already asked this question already? – Tapashan TR Jun 26 '22 at 15:57
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Yes, there are many prior instances of such lcm problems. Nothing is new in this one. – Bill Dubuque Jun 26 '22 at 15:58
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Okok will delete it now.. – Tapashan TR Jun 26 '22 at 15:59
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But still i didnot get perfect ans.. – Tapashan TR Jun 26 '22 at 15:59
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The ans is still in decimals – Tapashan TR Jun 26 '22 at 15:59
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Is it okay if it is in decimal? – Tapashan TR Jun 26 '22 at 16:00
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${\rm lcm} - 17 = 4680-17 = 4663$ is correct. There is no division involved. – Bill Dubuque Jun 26 '22 at 16:01
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Yes... To check my ans... i divided 4663 from 468, it gives out decimal ans... – Tapashan TR Jun 26 '22 at 16:04
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From lcm to be more accurate – Tapashan TR Jun 26 '22 at 16:04
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$468$ doesn't divide $x=4663,,$ rather $468$ divides $x+17 = 4680\ \ $ – Bill Dubuque Jun 26 '22 at 16:05
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Oh yes! I was really so dumb... Thanks for your help and spending ur time for me!! – Tapashan TR Jun 26 '22 at 16:07
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Glad to see you got it. – Bill Dubuque Jun 26 '22 at 16:08
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Please don't forget to delete the question. – Bill Dubuque Jun 27 '22 at 09:04