Reciproal of a number when subtracted from the number equals to -24/5.find the number
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let the number be n
n-1/n=-24/5
(n²-1)/n=-24/5
5n²-5=-24n
5n²-5+24n=0
5n²-5+25n-n=0
5n(n+5)-1(5+n)=0
(5n-1)(n+5)=0
hence n=1/5 or -5
n-1/n=-24/5
(n²-1)/n=-24/5
5n²-5=-24n
5n²-5+24n=0
5n²-5+25n-n=0
5n(n+5)-1(5+n)=0
(5n-1)(n+5)=0
hence n=1/5 or -5
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