Question:
The number of integer solutions of equation \(2|x|(x^2+1)=5x^2\) is
The number of integer solutions of equation \(2|x|(x^2+1)=5x^2\) is
Updated On: Aug 12, 2024
- 0
- 3
- 5
- -1
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct answer is 3.
Was this answer helpful?
2
3
Top Questions on Number of integer solutions
- The number of integer solutions of equation \(2|x|(x^2+1)=5x^2\) is
- CAT - 2023
- Quantitative Aptitude
- Number of integer solutions
- The sum of all possible values of \(x\) satisfying the equation \(2^{4x^2} - 2^{2x^2+x+16} + 2^{2x+30} = 0\), is
- CAT - 2023
- Quantitative Aptitude
- Number of integer solutions
- The number of integer solutions of the equation (x2−10)(x2−3x−10)=1 is
- CAT - 2022
- Quantitative Aptitude
- Number of integer solutions
- Let \(0≤a≤x≤100\) and f(x)=\(|x−a|+|x−100|+|x−a−50|\).Then the maximum value of f(x) becomes 100 when a is equal to
- CAT - 2022
- Quantitative Aptitude
- Number of integer solutions
- Let \(A\) be the largest positive integer that divides all the numbers of form \(3^k+4^k+5^k\), and \(B\) be the largest positive integer that divides all the numbers of the form \(4^k+3(4^k)+4^{k+2}\), where k is any positive integer. Then \((A+B)\) equals
- CAT - 2022
- Quantitative Aptitude
- Number of integer solutions
View More Questions
Questions Asked in CAT exam
- The sum of all real values of $k$ for which $(\frac{1}{8})^k \times (\frac{1}{32768})^{\frac{4}{3}} = \frac{1}{8} \times (\frac{1}{32768})^{\frac{k}{3}}$ is
- CAT - 2024
- Logarithms
- Amal and Vimal together can complete a task in 150 days, while Vimal and Sunil together can complete the same task in 100 days. Amal starts working on the task and works for 75 days, then Vimal takes over and works for 135 days. Finally, Sunil takes over and completes the remaining task in 45 days. If Amal had started the task alone and worked on all days, Vimal had worked on every second day, and Sunil had worked on every third day, then the number of days required to complete the task would have been
- CAT - 2024
- Time and Work
- Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price, and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is
- CAT - 2024
- Profit and Loss
- Sam can complete a job in 20 days when working alone. Mohit is twice as fast as Sam and thrice as fast as Ayana in the same job. They undertake a job with an arrangement where Sam and Mohit work together on the first day, Sam and Ayana on the second day, Mohit and Ayana on the third day, and this three-day pattern is repeated till the work gets completed. Then, the fraction of total work done by Sam is
- CAT - 2024
- Time and Work
- The number of all positive integers up to 500 with non-repeating digits is
- CAT - 2024
- Number Systems
View More Questions