All Categories Alerts Wishlist Cart

What is the value of k if the quadratic equation x^2 + kx + 16 = 0 has roots that are real and distinct? (2019)

Practice Questions

1 question
Q1
What is the value of k if the quadratic equation x^2 + kx + 16 = 0 has roots that are real and distinct? (2019)
  1. -8
  2. -4
  3. 4
  4. 8

Questions & Step-by-step Solutions

1 item
Q
Q: What is the value of k if the quadratic equation x^2 + kx + 16 = 0 has roots that are real and distinct? (2019)
Solution: For real and distinct roots, the discriminant must be positive: k^2 - 4(1)(16) > 0. Thus, k^2 > 64, leading to k < -8 or k > 8.
Steps: 0

Related Questions

I
If the quadratic equation x^2 + px + q = 0 has roots 3 and 4, what is the value
Question: If the quadratic equation x^2 + px + q = 0 has roots 3 and 4, what is the value of p + q? ..
W
What is the value of x in the equation 4x - 7 = 9? (2022)
Question: What is the value of x in the equation 4x - 7 = 9? (2022)Options: 4563Correct Answer: 4Exa..
I
If the sum of two numbers is 20 and their product is 96, what are the numbers? (
Question: If the sum of two numbers is 20 and their product is 96, what are the numbers? (2021)Optio..
T
The area of a triangle is 60 square units. If the base is 10 units, what is the
Question: The area of a triangle is 60 square units. If the base is 10 units, what is the height? (2..
I
If a rectangle has a length of 8 cm and a width of 5 cm, what is its perimeter?
Question: If a rectangle has a length of 8 cm and a width of 5 cm, what is its perimeter? (2022)Opti..
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
eBooks
eBooks
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