Question
Download Solution PDFIf
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Calculations:
According to question,
⇒x = 9 - 4√5
⇒x² = 161 - 72√5
and
⇒y = 9 + 4√5
⇒y² = 161 + 72√5
Now,
= (161 - 72√5 - 1 + 161 + 72√5)/(161 - 72√5 + 1 + 161 + 72√5)
= (322 - 1)/(322 + 1)
= 321/323
Hence, The Required value is 321/323.
Alternate Method
We know, if x =
So,
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