Algebra & Equations · Question 27 · Hard
If α and β are the roots of x² − 6x + 7 = 0, what is the value of α² + β²?
- 22
- 50
- 29
- 36
Answer and explanation
Answer: A. 22
Explanation: α + β = 6 and αβ = 7. α² + β² = (α + β)² − 2αβ = 36 − 14 = 22.
Previous: If (x − 2)/(x + 3) = 3/4, what is the value of x? · Next: If x + y = 10, y + z = 14 and z + x = 12, what is the value of xyz?
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
- Which quadratic equation has roots 3 and −5?
- A number greater than 1, added to its reciprocal, gives 26/5. What is the…
- If (x − 2)/(x + 3) = 3/4, what is the value of x?
- 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