Question

if (x+y)/xy=2 and (x-y)=6then y=?
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Answer 1

(x+y) = 2xy ---------------(i)

so, (x-y )² = (x+y)² - 4xy

= (x-y)² = (2xy)² - 4xy = 4x²y² - 4xy

= 4xy (xy -1)

=( x-y )= 2√{xy(xy-1)}---------------(ii)

subtracting (I) and (ii)

= 2y = 2xy -2 √{xy(xy-1)}

so, y = xy - √ (x²y² - xy)