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
›
If the roots of the equation x^2 + 6x + 9 = 0 are equal, what is the value of th
If the roots of the equation x^2 + 6x + 9 = 0 are equal, what is the value of the root? (2023)
Expand All
Collapse All
Practice Questions
1 question
Q1
If the roots of the equation x^2 + 6x + 9 = 0 are equal, what is the value of the root? (2023)
-3
3
0
-6
Show Solution
Copy
The equation can be factored as (x+3)(x+3)=0, hence the root is -3.
Questions & Step-by-step Solutions
1 item
Q
Q: If the roots of the equation x^2 + 6x + 9 = 0 are equal, what is the value of the root? (2023)
Solution:
The equation can be factored as (x+3)(x+3)=0, hence the root is -3.
Steps: 9
Show Steps
Step 1: Identify the equation given, which is x^2 + 6x + 9 = 0.
Step 2: Recognize that the equation is a quadratic equation in the form of ax^2 + bx + c.
Step 3: Check if the roots are equal by calculating the discriminant (b^2 - 4ac). Here, a = 1, b = 6, and c = 9.
Step 4: Calculate the discriminant: (6^2) - (4 * 1 * 9) = 36 - 36 = 0.
Step 5: Since the discriminant is 0, this confirms that the roots are equal.
Step 6: Factor the quadratic equation: x^2 + 6x + 9 can be factored as (x + 3)(x + 3) = 0.
Step 7: Set the factored equation to zero: (x + 3) = 0.
Step 8: Solve for x: x = -3.
Step 9: Conclude that the value of the root is -3.
Related Questions
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
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..
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..
W
What is the principle of conservation of energy? (2021)
Question: What is the principle of conservation of energy? (2021)Options: Energy can be createdEnerg..
I
If in a certain code language, 'CAT' is coded as '3120', how is 'DOG' coded? (20
Question: If in a certain code language, \'CAT\' is coded as \'3120\', how is \'DOG\' coded? (2021)O..
‹
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
✕
↑
