the sum of intiger and their …
CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Posted by Pankaj Asery 7 years, 3 months ago
- 2 answers
Rashmi Bajpayee 7 years, 3 months ago
Let the integer be x.
x + 1/x = 145/12
12x2 - 145x + 12 = 0
12x2 - 144x - x + 12 = 0
12x(x - 12) - 1(x - 12) = 0
(x - 12)(12x - 1) = 0
x = 12 and x = 1/12
Therefore the required integer is 12.
Related Questions
Posted by Shankar Shah 3 days, 15 hours ago
- 2 answers
Posted by Vrinda Yadav 1 day, 6 hours ago
- 1 answers
Posted by Shruti K 3 days, 3 hours ago
- 2 answers
Posted by Azad Kumar Rana 2 days, 11 hours ago
- 1 answers
Posted by Karanvir Singh 1 day, 3 hours ago
- 0 answers
Posted by Vrinda Yadav 2 days, 1 hour ago
- 1 answers
Posted by Noufa Sajida 1 day, 6 hours ago
- 1 answers
Posted by B Vv 13 hours ago
- 1 answers
Posted by Noufa Sajida 1 day, 6 hours ago
- 1 answers
myCBSEguide
Trusted by 1 Crore+ Students
Test Generator
Create papers online. It's FREE.
CUET Mock Tests
75,000+ questions to practice only on myCBSEguide app
Naveen Sharma 7 years, 3 months ago
Solution:
Let the integer = x
Then reciprocal = 1/x
According to Question
x + 1/x = 145/12
=> (x2+1)/x = 145/12
=> 12x2 + 12 = 145x
=> 12x2 - 145x + 12 = 0
=> 12x2- 144x - x + 12 = 0
=> 12x(x - 12) - 1(x - 12) = 0
=> (x - 12)(12x - 1) = 0
=> x = 12 and x = 1/12
as X is integer x can't be 1/12
Therefore the required integer is 12
0Thank You