Makahanap ng mga solusyon sa iyong mga problema gamit ang IDNStudy.com. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.

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



Sagot :

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