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Sum of a fraction and thrice of its reciprocal is 73/20. What is the fraction?
- A4/5
- B9/4
- C4/9
- D5/4
Answer not set
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0
CCommunity
Let the fraction be ‘x’
⇒ x + 3/x = 73/20
⇒ x2 + 3 = 73x/20
⇒ 20x2 - 73x + 60 = 0
⇒ 20x2 - 25x - 48x + 60 = 0
⇒ 5x(4x - 5) - 12(4x - 5) = 0
⇒ (4x - 5)(5x - 12) = 0
⇒ x = 5/4, 12/5
∴ The required fraction is 5/4
⇒ x + 3/x = 73/20
⇒ x2 + 3 = 73x/20
⇒ 20x2 - 73x + 60 = 0
⇒ 20x2 - 25x - 48x + 60 = 0
⇒ 5x(4x - 5) - 12(4x - 5) = 0
⇒ (4x - 5)(5x - 12) = 0
⇒ x = 5/4, 12/5
∴ The required fraction is 5/4
0
CCommunity
Let the fraction be ‘x’
⇒ x + 3/x = 73/20
⇒ x2 + 3 = 73x/20
⇒ 20x2 - 73x + 60 = 0
⇒ 20x2 - 25x - 48x + 60 = 0
⇒ 5x(4x - 5) - 12(4x - 5) = 0
⇒ (4x - 5)(5x - 12) = 0
⇒ x = 5/4, 12/5
∴ The required fraction is 5/4
⇒ x + 3/x = 73/20
⇒ x2 + 3 = 73x/20
⇒ 20x2 - 73x + 60 = 0
⇒ 20x2 - 25x - 48x + 60 = 0
⇒ 5x(4x - 5) - 12(4x - 5) = 0
⇒ (4x - 5)(5x - 12) = 0
⇒ x = 5/4, 12/5
∴ The required fraction is 5/4