Question

If x2 - y2 = 12xy, then x2/y2 + y2/x2 =​

Answer 1

Step-by-step explanation:

   x2 - y2 = 12xy

⇒ x2 = 12xy - y2

⇒ y2 = x2 - 12xy

  x2/y2 + y2/x2

= 12xy-y2/y2 + y2/12xy-y2

= y(12x-y)/y2 = y2/y(12x-y)

= 12x-y/y + y/12x-y

= (12x-y)^2 + y2/ y(12x-y)

= (144x2 + y2 - 24xy + y2) / 12xy-y2

= 144x2 + 2y2 - 24xy / 12xy-y2