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A fraction is greater than its reciprocal by 9/20. What is the fraction?
- A5/4
- B4/5
- C3/4
- D4/3
Answer not set
Discussion 1
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CCommunity
Let the fraction be y
According to the problem statement
⇒ y – 1/y = 9/20
⇒ 20y2 – 9y – 20 = 0
⇒ (y – 5/4)(y + 16/25) = 0
⇒ y = 5/4 or y = -16/25
∴ the fraction is 5/4
According to the problem statement
⇒ y – 1/y = 9/20
⇒ 20y2 – 9y – 20 = 0
⇒ (y – 5/4)(y + 16/25) = 0
⇒ y = 5/4 or y = -16/25
∴ the fraction is 5/4