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The sum of a number and its reciprocal is `2(1)/(20).` The number isA. `(5)/(4)" or "(4)/(5)`B. `(4)/(3)" or "(3)/(4)`C. `(5)/(6)" or (6)/(5)`D. `(1)/(6)" or "6` |
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Answer» Correct Answer - A Let the required number be x. Then, `x+(1)/(x)=(41)/(20)implies20x^(2)-41x+20=0` `implies20x^(2)-25x-16x+20=0` `implies5x(4x-5)-4(4x-5)=0` `implies(4x-5)(5x-4)=0` `impliesx=(5)/(4)" or "x=(4)/(5).` |
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