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the sum of numberand its reciprocal is 73/24. find the number?
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let the number be x. so, \[x+{1\over{x}}={73\over24}\]
\[{x^2+1\over{x}}={73\over24}\]
\[24x^2-73x+24=0\] \[\left( x-{8\over3} \right)\left( x-{3\over8} \right)=0\] \[x={8\over3},{3\over8}\] so just choose either answer (:
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