SOLUTION: If the product of two positive numbers is 8 and their sum is 6, find the sum of their reciprocals
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Question 821765: If the product of two positive numbers is 8 and their sum is 6, find the sum of their reciprocals
Answer by jhunjiro(67) (Show Source): You can put this solution on YOUR website!
Let:
x - 1st positive integer
y - 2nd positive integer
-
eq 1
-
eq 2
-
Solution:
-formulate eq 1
eq3
-then subtitute eq 3 to eq 2
-multiply both sides by y
-
-factor
-
-
reciprocal
-
-
-
reciprocal
-
sum of their reciprocal
-
LCD=4
=
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