if the sum of two numbers x and y is 5 and their product is 8,
what is the sum of their reciprocals???? (please give the shortest solution)
2007-06-13 04:01:12 · 6 answers · asked by guest 1 in Science & Mathematics ➔ Mathematics
1/x + 1/y = (x+y)/xy = 5/8
2007-06-13 04:04:53 · answer #1 · answered by om j 2 · 2⤊ 0⤋
5/8
2007-06-13 11:06:50 · answer #2 · answered by aathid 1 · 0⤊ 0⤋
x+y=5
xy=8
you want to find 1/x + 1/y. Now 1/x +1/y = (x+y)/xy (do you see why?) and so the sum of the reciprocals is 5/8.
Math Rules!
2007-06-13 11:06:17 · answer #3 · answered by Math Chick 4 · 0⤊ 0⤋
ab = 8, a + b = 5
What is needed is 1/a + 1/b
1/a + 1/b = b + a / ab = 5/8
2007-06-13 11:07:36 · answer #4 · answered by Swamy 7 · 0⤊ 0⤋
x+y=5 and xy=8 is given
1/x+1/y
=(x+y)/xy
=5/8 ans
2007-06-13 11:05:54 · answer #5 · answered by alpha 7 · 0⤊ 0⤋
1/x+1/y=(x+y)/(xy)=5/8
2007-06-13 11:05:13 · answer #6 · answered by Anonymous · 0⤊ 0⤋