SOLUTION: if x and y are positive with x minus y = 2 and xy = 24, then 1/x plus 1/y is equal to -----------?

Question 935201: if x and y are positive with x minus y = 2 and xy = 24, then 1/x plus 1/y is equal to -----------?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
.
Find ?

OR

using one of your given equations.

First equation of the system gives x=y+2.
Substitution gives

, and according to the restriction given for x and y, must choose . This makes .

FINISH THE ANSWER:

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

if x and y are positive with x minus y = 2 and xy = 24, then 1/x plus 1/y is equal to -----------?

= , or
RELATED QUESTIONS
Q.1) If a, b, c, are real numbers such that a2+2b=6, b2+4c= -7 and c2+6a= -13, then the... (answered by Edwin McCravy)
if x plus y = a and xy = b, then the value of 1/x to the power of 3 plus 1/y to the power (answered by josgarithmetic,MathLover1,Edwin McCravy)
if x plus 1/y = 1 and y minus 1/z =1, then the value of xyz is... (answered by MathLover1)
If x, y, and z are positive integers with xy=24, xz=48, and yz=72, find... (answered by Edwin McCravy)
if x and y are positive real numbers, use the fact that t+(1/t)>=2 for positive numbers... (answered by venugopalramana)
If XY=1 and X is not equal to Y, then (7^1/x-y)^1/x-1/y (Everything after each carrot is... (answered by josgarithmetic)
Show that if a and c are positive numbers with a not equal to c, {{{ a^x=c^q }}} , and... (answered by KMST)
If two real numbers x and y are such that xy, x/y and x + y are all equal, then x - y = (answered by richwmiller)
If x/y=m and xy does not equal zero, then x-y/y is equal to... (answered by ikleyn,jim_thompson5910)