The sum of the number and …
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Sia ? 6 years ago
Let the number be x and its reciprocal be 1x
According to the question
x+1x=2130
⟹x2+1x=6130
⟹30x2 - 61 x+30 = 0
⟹30 x2 - 36x - 25x + 30 =0
⟹6x ( 5x -6) - 5 (5x -6) = 0
⟹(6x - 5) (5x - 6) = 0
Either 6x - 5 = 0 or 5x - 6 = 0
⟹x=56,65
Hence, the required number is 56or65
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