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The sum of thrice a number and twice its reciprocal is 97/4. What is the number?1). 92). 103). 84). 7 |
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Answer» Let the NUMBER be ‘x’. Given, 3X + 2/x = 97/4 ⇒ 3x2 + 2 = 97x/4 ⇒ 12X2 + 8 = 97x ⇒ 12x2 – 97x + 8 = 0 ⇒ 12x2 – 96x – x + 8 = 0 ⇒ 12x(x – 8) – 1(x – 8) = 0 ⇒ (x – 8)(12x – 1) = 0 ⇒ x = 8 or x = 1/12 ? All the options are whole numbers ∴ x = 8 |
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