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
| If and , then what is the value of (x2/y2) + (y2/x2) + 4[(x/y) + (y/x)] + 6?

A. 31

B.

C.

D. 25

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

(x2/y2) + (y2/x2) + 4[(x/y) + (y/x)] + 6
=
=
=
[ x2+ y2 = (√5+1)2 + (√5-1)2
= 6+2√5 + 6 - 2√5= 12
And xy =(√5+1)(√5-1) = 4 ]
=
=25

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