Algebra & Equations · Question 25 · Medium
A number greater than 1, added to its reciprocal, gives 26/5. What is the number?
- 4
- 26
- 6
- 5
Answer and explanation
Answer: D. 5
Explanation: x + 1/x = 26/5 gives 5x² − 26x + 5 = 0, i.e. (5x − 1)(x − 5) = 0. The root greater than 1 is x = 5.
Previous: Which quadratic equation has roots 3 and −5? · Next: If (x − 2)/(x + 3) = 3/4, what is the value of x?
Practise algebra & equations
Try a fresh set of algebra & equations questions with an explanation after every answer, free and without signing up: Algebra & Equations practice. Or sit a full placement mock test.
More algebra & equations questions
- If 4x + 3y = 31 and 2x − y = 3, what is the value of xy?
- A positive number exceeds its positive square root by 30. What is the number?
- Which quadratic equation has roots 3 and −5?
- If (x − 2)/(x + 3) = 3/4, what is the value of x?
- If α and β are the roots of x² − 6x + 7 = 0, what is the value of α² + β²?
- If x + y = 10, y + z = 14 and z + x = 12, what is the value of xyz?
- If 2^(x + 1) + 2^x = 48, what is the value of x?
- The sum of the squares of two consecutive even positive integers is 340. What…
More quantitative aptitude practice
Number System · HCF & LCM · Simplification · Percentages · Profit & Loss · Simple & Compound Interest · Ratio & Proportion · Averages
LogicWiz Exams home · All practice topics · Placement mock tests · Daily 10 challenge