All Categories Alerts Wishlist Cart

For the quadratic equation x² + 6x + k = 0 to have real roots, what is the minimum value of k? (2021)

Practice Questions

1 question
Q1
For the quadratic equation x² + 6x + k = 0 to have real roots, what is the minimum value of k? (2021)
  1. -9
  2. -6
  3. 0
  4. 6

Questions & Step-by-step Solutions

1 item
Q
Q: For the quadratic equation x² + 6x + k = 0 to have real roots, what is the minimum value of k? (2021)
Solution: The discriminant must be non-negative: 6² - 4*1*k ≥ 0, thus k ≤ 9. The minimum value of k is -9.
Steps: 0

Related Questions

F
Find the value of 5! (5 factorial). (2019)
Question: Find the value of 5! (5 factorial). (2019)Options: 12010015090Correct Answer: 120Solution:..
W
What is the product of the roots of the equation x^2 - 5x + 6 = 0? (2014) 2014
Question: What is the product of the roots of the equation x^2 - 5x + 6 = 0? (2014) 2014Options: 653..
F
Find the roots of the equation x² + 2x - 8 = 0. (2022)
Question: Find the roots of the equation x² + 2x - 8 = 0. (2022)Options: -4 and 24 and -22 and -40 a..
C
Calculate the perimeter of a square with side length 6 cm. (2015)
Question: Calculate the perimeter of a square with side length 6 cm. (2015)Options: 24 cm20 cm18 cm3..
W
What is the area of a triangle with base 10 cm and height 5 cm? (2021)
Question: What is the area of a triangle with base 10 cm and height 5 cm? (2021)Options: 25 cm²50 cm..
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely