# If and , then what is the value of (x 2 /y 2) + (y 2 /x 2) + 4[(x

| If and , then what is the value of (x

^{2}/y^{2}) + (y^{2}/x^{2}) + 4[(x/y) + (y/x)] + 6?A. 31

B.

C.

D. 25

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### Right Answer is: D

#### SOLUTION

(x^{2}/y^{2}) + (y^{2}/x^{2}) + 4[(x/y) + (y/x)] + 6

=

=

=

[ x^{2}+ y^{2} = (√5+1)^{2} + (√5-1)^{2}

= 6+2√5 + 6 - 2√5= 12

And xy =(√5+1)(√5-1) = 4 ]

=

=25