Question

If x=9+4√5 and xy=1. If the value of ¹/x² and ¹/y² = k, find k/46

Answer 1

Answer:

k/46=1/46

Step-by-step explanation:

accordingly

substitute x=9+4√5 in xy=1 =>(9+4√5)y=1 =>y=1/(9+4√5)

now, 1\x²+1/y²=k

=>1/(9+4√5)²+1/1/(9+4√5)²=k

=>1/(81+64)+1/1/(81+64)=k

=>1(145) +145=k

=>1=k

now, k/46=1/46