find all triples (a,b,c) of positive integers such that (1+1/a)(1+1/b)(1+1/c)=3
find all triples (a,b,c) of positive integers such that (1+1/a)(1+1/b)(1+1/c)=3
DASARI NAGESWARA RAO , 6 Years ago
Grade 12th pass
10 grade maths> find all triples (a,b,c) of positive inte...
1 AnswersRishit Dagli
Last Activity: 6 Years ago
Let
1+1/a = x
1+1/b = y
1+1/c = z
As 3 is a prime number it's factors are (3,1)
Therefore,
(x,y,z) = (1,1,3)(1,3,1)(3,11) as positive integers are asked
Case 1:
As 1 divided by any integer cannot give answer as 0
There are no positive integral solution sets
Hope it helps
Rishit Dagli
Provide a better Answer & Earn Cool Goodies
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Other Related Questions on 10 grade maths
What are the advantages and disadvantages of mean, median and mode?
What are the advantages and disadvantages of mean, median and mode?
10 grade maths
1 Answer Available
Last Activity: 1 Year ago
Find the sum of the first 100 natural numbers.
Find the sum of the first 100 natural numbers.
10 grade maths
1 Answer Available
Last Activity: 3 Years ago
AOBC is a rectangle whose three vertices are A(0,-3), O(0,0) and B (4,0). The length of its diagonal is__
AOBC is a rectangle whose three vertices are A(0,-3), O(0,0) and B (4,0). The length of its diagonal is__
10 grade maths
1 Answer Available
Last Activity: 3 Years ago
For an AP, it is given that first term (a)= 5 and Common Difference (d) = 3 and nth term = 50. Find n and sum of first n terms of AP
For an AP, it is given that first term (a)= 5 and Common Difference (d) = 3 and nth term = 50. Find n and sum of first n terms of AP
10 grade maths
1 Answer Available
Last Activity: 3 Years ago
The value(s) of k for which the quadratic equation 2x^2 + kx + 2 = 0 has equal roots, is (a) 4 (b) pm 4 (c) -4 (d) 0
The value(s) of k for which the quadratic equation 2x^2 + kx + 2 = 0 has equal roots, is (a) 4 (b) pm 4 (c) -4 (d) 0
10 grade maths
1 Answer Available
Last Activity: 3 Years ago