एक भिन्न  और उसके व्युत्क्रम के तिगुने का योग 73/20 है। भिन्न क्या है?

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SSC CGL Previous Paper 3 (Held On: 6 August 2017 Shift 1)
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  1. 4/5
  2. 9/4
  3. 4/9
  4. 5/4

Answer (Detailed Solution Below)

Option 4 : 5/4
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Detailed Solution

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माना कि भिन्न x है।

व्युत्क्रम = 1/x

तब,

x + 3/x = 73/20

⇒ x2 + 3 = 73x/20

⇒ 20x2 – 73x + 60 = 0

⇒ x = {- (-73) + √ (5329 – 4800)}/40     या        x = {- (-73) - √ (5329 – 4800)}/40

⇒ x = 96/40 = 12/5                                या        x = 50/40 = 5/4

∴ अभीष्ट भिन्न 5/4 या 12/5 है।
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