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
›
The sum of the roots of the quadratic equation 2x^2 - 4x + k = 0 is 3. What is t
The sum of the roots of the quadratic equation 2x^2 - 4x + k = 0 is 3. What is the value of k?
Expand All
Collapse All
Practice Questions
1 question
Q1
The sum of the roots of the quadratic equation 2x^2 - 4x + k = 0 is 3. What is the value of k?
1
2
3
4
Show Solution
Copy
Using the sum of roots formula -b/a, we have 4/2 = 2, thus 2 + 1 = 3, so k = 1.
Questions & Step-by-step Solutions
1 item
Q
Q: The sum of the roots of the quadratic equation 2x^2 - 4x + k = 0 is 3. What is the value of k?
Solution:
Using the sum of roots formula -b/a, we have 4/2 = 2, thus 2 + 1 = 3, so k = 1.
Steps: 8
Show Steps
Step 1: Identify the quadratic equation given, which is 2x^2 - 4x + k = 0.
Step 2: Recall the formula for the sum of the roots of a quadratic equation, which is -b/a.
Step 3: In the equation, identify the values of a and b. Here, a = 2 and b = -4.
Step 4: Substitute the values of a and b into the sum of roots formula: -(-4)/2.
Step 5: Calculate -(-4)/2, which simplifies to 4/2 = 2. This means the sum of the roots is 2.
Step 6: We know from the question that the sum of the roots is also equal to 3.
Step 7: Set the sum of the roots equal to 3: 2 + 1 = 3.
Step 8: From the equation 2 + 1 = 3, we find that the missing value is 1, which is the value of k.
Related Questions
F
Find the value of tan(45°).
Question: Find the value of tan(45°).Options: 01undefined√3Correct Answer: 1Solution: tan(45°) = 1...
W
What is the value of 5C2?
Question: What is the value of 5C2?Options: 1020155Correct Answer: 10Solution: 5C2 = 5! / (2!(5-2)!)..
W
What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?
Question: What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?Options: 3x^2 - 6x + 43x^2 - 6x2x^2 -..
F
Find the value of tan(45°) + cot(45°).
Question: Find the value of tan(45°) + cot(45°).Options: 120undefinedCorrect Answer: 2Solution: tan(..
W
What is the value of the limit lim (x -> 0) (sin(5x)/x)?
Question: What is the value of the limit lim (x -> 0) (sin(5x)/x)?Options: 01510Correct Answer: 5Sol..
‹
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
✕
↑
