1.

The sum of two numbers is 8 and their product is 15. What is the sum of their reciprocals?​

Answer»

ANSWER:

let NUMBERS are X and y

x+y =8

xy=15

x = 8-y

(8-y)y = 15

8y-y2 =15

y2-8y+15 =0

y2-5y-3y+15 = 0

y(y-5)-3(y-5) = 0

(y-3)(y-5) = 0

y = 3, y= 5

if y= 3 TGEN x = 5

if y= 5 then x = 3

1/x+ 1/y = ?

if x = 5, y=3

then 1/5+1/3 = 8/15


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