Math, asked by yamangautam, 1 year ago

if x=9+4√5 and xy=1,then find the value of ¹/x² and ¹/y²

Answers

Answered by abhi569
77
x = 9 + 4√5

xy = 1

y = 1/x

y = 1/(9 + 4√5)

By rationalization,

y = 9 - 4√5


××××××××××××××

x², y²
=> (9 + 4√5)², (9 - 4√5)²
=> 81 + 80+ 72√5 =x²
=> 161 + 72√5 = x² = 1 / y²

=> 81 + 80 - 72√5 = y²
=> 161 - 72√5= y² = 1 / x²


××××××××××××××
I hope this will help you

(-:
Answered by monissh7
12

Answer:

answer is 7 please mark as brainliest

hope it helps friend

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