Answered

Sumali sa IDNStudy.com at makakuha ng maraming kaalaman. Magtanong at makakuha ng detalyadong sagot mula sa aming komunidad ng mga eksperto.

the sum of 2 numbers is 35 and their product is 15. find the sum of their reciprocal

Sagot :

Shinalcantaraidn
let 'x' be the first number 
    'y' be the other number
x + y = 35   -----equation 1
xy = 15    ---equation 2
from equation 1
x + y = 35
x = 35 - y ----equation 3
substitute equation 3 to equation 2
xy = 15
(35 - y)(y) = 15
35y - y² = 15
y² - 35y + 15 = 0
y = 34.566,  y = 0.434
the two values are the values for x and y say
y = 34.566,  x = 0.434
finding the sum of their reciprocals you'll have:
1/x + 1/y = 1/0.434 + 1/34.566
              = 2.333