All Categories
Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
eBooks
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
For the quadratic equation x^2 + 4x + k = 0 to have equal roots, what must be th
For the quadratic equation x^2 + 4x + k = 0 to have equal roots, what must be the value of k? (2022)
Expand All
Collapse All
Practice Questions
1 question
Q1
For the quadratic equation x^2 + 4x + k = 0 to have equal roots, what must be the value of k? (2022)
4
8
16
0
Show Solution
Copy
For equal roots, the discriminant must be zero: 4^2 - 4*1*k = 0, thus k = 4.
Questions & Step-by-step Solutions
1 item
Q
Q: For the quadratic equation x^2 + 4x + k = 0 to have equal roots, what must be the value of k? (2022)
Solution:
For equal roots, the discriminant must be zero: 4^2 - 4*1*k = 0, thus k = 4.
Steps: 9
Show Steps
Step 1: Identify the quadratic equation, which is x^2 + 4x + k = 0.
Step 2: Recall that for a quadratic equation ax^2 + bx + c = 0, the discriminant is given by the formula D = b^2 - 4ac.
Step 3: In our equation, a = 1, b = 4, and c = k.
Step 4: Substitute the values of a, b, and c into the discriminant formula: D = 4^2 - 4*1*k.
Step 5: Simplify the expression: D = 16 - 4k.
Step 6: For the roots to be equal, the discriminant must be zero. So, set D = 0: 16 - 4k = 0.
Step 7: Solve for k by adding 4k to both sides: 16 = 4k.
Step 8: Divide both sides by 4 to isolate k: k = 16 / 4.
Step 9: Simplify the division: k = 4.
Related Questions
W
What will come next in the series: A, C, E, G, ...? (2021)
Question: What will come next in the series: A, C, E, G, ...? (2021)Options: IHJKCorrect Answer: HEx..
F
Find the next number in the series: 2, 6, 12, 20, ... (2022)
Question: Find the next number in the series: 2, 6, 12, 20, ... (2022)Options: 30323436Correct Answe..
W
Which of the following numbers is the largest? (2022)
Question: Which of the following numbers is the largest? (2022)Options: 0.51/30.250.75Correct Answer..
W
Which of the following is a vector quantity? (2020)
Question: Which of the following is a vector quantity? (2020)Options: SpeedDistanceDisplacementTimeC..
W
Which of the following forms of energy is associated with motion? (2023)
Question: Which of the following forms of energy is associated with motion? (2023)Options: Potential..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
eBooks
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
