All Categories
Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
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 quadratic equation x^2 - 6x + 9 = 0 has how many distinct real roots?
The quadratic equation x^2 - 6x + 9 = 0 has how many distinct real roots?
Expand All
Collapse All
Practice Questions
1 question
Q1
The quadratic equation x^2 - 6x + 9 = 0 has how many distinct real roots?
0
1
2
Infinite
Show Solution
Copy
The discriminant is 0, indicating that there is exactly one distinct real root.
Questions & Step-by-step Solutions
1 item
Q
Q: The quadratic equation x^2 - 6x + 9 = 0 has how many distinct real roots?
Solution:
The discriminant is 0, indicating that there is exactly one distinct real root.
Steps: 7
Show Steps
Step 1: Identify the quadratic equation, which is in the form ax^2 + bx + c. Here, a = 1, b = -6, and c = 9.
Step 2: Calculate the discriminant using the formula D = b^2 - 4ac.
Step 3: Substitute the values of a, b, and c into the discriminant formula: D = (-6)^2 - 4(1)(9).
Step 4: Calculate (-6)^2, which is 36.
Step 5: Calculate 4(1)(9), which is 36.
Step 6: Now, subtract the two results: D = 36 - 36 = 0.
Step 7: Interpret the discriminant: If D = 0, it means there is exactly one distinct real root.
Related Questions
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°).
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)!)..
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 derivative of f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1?
Question: What is the derivative of f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1?Options: 4x^3 - 12x^2 + 12x - ..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
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
✕
↑
