if x=9+4√5 and xy=1,then find the value of ¹/x² and ¹/y²
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Answered by
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
(-:
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
(-:
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12
Answer:
answer is 7 please mark as brainliest
hope it helps friend
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