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Rajeev Malhotra 8 years, 4 months ago
Let the number is x. So its reciprocal = 1/x
It is given that x+1/x= 281/80
x2 +1/x = 281/80
80x2 +80= 281x
80x2 -281x +80=0
80x2 -256 x-25 x+80= 0
16x(5x-16) -5(5x-16) = 0
(16x-5)(5x-16) =0
16x-5 = 0 or 5x-16 =0
x= 5/16 or x = 16/5
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