SOLUTION: Hello! Can you please help me solve this word problem? If the sum of two numbers is 18 and their product is 40, find the following with out finding the two numbers a) the sum of

Question 195209: Hello! Can you please help me solve this word problem?
If the sum of two numbers is 18 and their product is 40, find the following with out finding the two numbers
a) the sum of the reciprocals of the two numbers
b) the sum of the squares of the two numbers (what is (x+y) squared)
This is what I have so far:
x+y = 18
xy=40
18={1,2,3,6,9,18}
40={1,2,4,5,8,10,40}
1/x +1/y =?
1/(x+y) squared
Now I am stuck! Thank you for your help.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the sum of two numbers is 18 and their product is 40, find the following with out finding the two numbers
x+y = 18
xy=40
----------------------------
a) the sum of the reciprocals of the two numbers
1/x +1/y
--------------------
b) the sum of the squares of the two numbers
x^2 + y^2
==================
Cheers,
Stan H.

RELATED QUESTIONS
PLEASE HELP ME SOLVE THIS EQUATION: The sum of two numbers is 8.5 and their product is... (answered by nyc_function)

PLEASE HELP ME SOLVE THIS EQUATION: Te sum of two numbers is 8.5 and their product is 18. (answered by devjyotsingh24)

please help me solve this equation: The sum of two numbers is 8.5, their product is 18.... (answered by stanbon,mananth)

Please help me solve this word problem: The difference between two numbers is 2. Find... (answered by College Student,edjones)

please help me solve this word problem: the second of two numbers is 5 more than twice... (answered by checkley77)

Hello, Could you please help me with this problem about integers? I have no clue on how... (answered by josmiceli)

please help me solve this equation 2. The sum of two numbers is 23 and their product is... (answered by greenestamps,ewatrrr)

Can you please help me with this problem: The sum of two numbers is four and their... (answered by ankor@dixie-net.com)

Please help me solve this word problem: Find two positive numbers where the sum of the (answered by robertb)