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The sum of the number and …

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The sum of the number and its reciprocal is 2 ×1/30.find the number

  • 1 answers

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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