Question

Given that x + y = 9, xy = 16, and x< y, evaluate 1/x-1/y​

Answer 1

Step-by-step explanation:

(x+y)2…x2+y2+2xy

(9)2....X2+y2+2×16

81-32.......X2+y2

49.....X2+y2

( X-y)2.....X2+y2-2xy

(x-y)2....49-32

(x-y)2....17

X-y....

$\sqrt{17}$

1/x-1/y......

x-y/xy........Root 17/16 ans