यदि  और  फिर   = ? का मान ज्ञात करें। 

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SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 2)
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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दिया गया:

  और 

गणना:

प्रश्न के अनुसार,

  

⇒x = 9 - 4√5

⇒x² = 161 - 72√5

और  

⇒y = 9 + 4√5

⇒y² = 161 + 72√5

अब, 

 

= (161 - 72√5 - 1 + 161 + 72√5)/(161 - 72√5 + 1 + 161 + 72√5)

= (322 - 1)/(322 + 1)

= 321/323

इसलिए, अपेक्षित मान 321/323 है।

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