If x= 2 y-1 2- y , where x, y (0, ) , then x 2 y 2 is equal to

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Quantrex Academy · Accepted Answer

Correct answer: B. 3

x= 2 y-1 2- y 1- ^2 x 2 1+ ^2 x 2 = 2 ( 1- ^2 y 2 1+ ^2 y 2 )-1 2- ( 1- ^2 y 2 1+ ^2 y 2 ) 1- ^2 x 2 1+ ^2 x 2 = 2-2 ^2 y 2 -1- ^2 y 2 2+2 ^2 y 2 -1+ ^2 y 2 1- ^2 x 2 1+ ^2 x 2 = 1-3 ^2 y 2 1+3 ^2 y 2 1+3 ^2 y 2 - ^2 x 2 -3 ^2 x 2 ^2 y 2 =1-3 ^2 y 2 + ^2 x 2 -3 ^2 x 2 ^2 y 2 6 ^2 y 2 =2 ^2 x 2 x 2 y 2 = 3

If x= 2 y-1 2- y , where x, y (0, ) , then x 2 y 2 is equal to

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