JEE Exam > JEE Questions > Find positive, integral solution of the equat...
Start Learning for Free
Find positive, integral solution of the equation:-- y = 12/ 3 2x?
Most Upvoted Answer
Find positive, integral solution of the equation:-- y = 12/ 3 2x?
Solution:
Given Equation
y = 12/ 3^(2x)
Integral Solution
For integral solution, we need to find such values of x and y which are integers.
Manipulating the Equation
Let's manipulate the given equation:
y = 12/ 3^(2x)
3^(2x)y = 12
3^(2x)y = 3 * 2 * 2
3^(2x)y = 2^2 * 3 * 1
Factors of the Equation
Now, we need to find such values of x and y which satisfy the above equation.
Factors of 2^2 * 3 * 1 = 2, 3, 4, 6, 12
To get the value of x, we need to solve the equation 3^(2x)y = 2^2 * 3 * 1 for each factor of the equation.
Solving the Equation
For y = 2,
3^(2x) = 2^2 * 3 / y
3^(2x) = 2^2 * 3 / 2
3^(2x) = 2^1 * 3^1
3^(2x) = (3^1)^1 * (3^1)^1
3^(2x) = 3^(1+1)
2x = 2
x = 1
Therefore, (x,y) = (1,2) is a solution.
Similarly, we can solve for other factors of the equation.
Integral Solutions
The integral solutions of the given equation are:
- (x,y) = (1,2)
- (x,y) = (0,3)
- (x,y) = (1,4)
- (x,y) = (2,3)
- (x,y) = (0,6)
- (x,y) = (1,8)
- (x,y) = (2,6)
- (x,y) = (3,3)
- (x,y) = (1,12)
- (x,y) = (2,12)
- (x,y) = (3,6)
- (x,y) = (4,3)
- (x,y) = (2,24)
- (x,y) = (3,12)
- (x,y) = (4,6)
- (x,y) = (3,24)
- (x,y) = (4,12)
- (x,y) = (5,3)
- (x,y) = (3,48)
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Top Courses for JEEView all
Find positive, integral solution of the equation:-- y = 12/ 3 2x?
Question Description
Find positive, integral solution of the equation:-- y = 12/ 3 2x? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Find positive, integral solution of the equation:-- y = 12/ 3 2x? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find positive, integral solution of the equation:-- y = 12/ 3 2x?.
Find positive, integral solution of the equation:-- y = 12/ 3 2x? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Find positive, integral solution of the equation:-- y = 12/ 3 2x? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find positive, integral solution of the equation:-- y = 12/ 3 2x?.
Solutions for Find positive, integral solution of the equation:-- y = 12/ 3 2x? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Find positive, integral solution of the equation:-- y = 12/ 3 2x? defined & explained in the simplest way possible. Besides giving the explanation of
Find positive, integral solution of the equation:-- y = 12/ 3 2x?, a detailed solution for Find positive, integral solution of the equation:-- y = 12/ 3 2x? has been provided alongside types of Find positive, integral solution of the equation:-- y = 12/ 3 2x? theory, EduRev gives you an
ample number of questions to practice Find positive, integral solution of the equation:-- y = 12/ 3 2x? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup