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
›
Solve for x: 4x^2 - 12x + 9 = 0.
Solve for x: 4x^2 - 12x + 9 = 0.
Expand All
Collapse All
Practice Questions
1 question
Q1
Solve for x: 4x^2 - 12x + 9 = 0.
x = 1
x = 3
x = 2
x = 4
Show Solution
Copy
This factors to (2x - 3)(2x - 3) = 0, giving the double root x = 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve for x: 4x^2 - 12x + 9 = 0.
Solution:
This factors to (2x - 3)(2x - 3) = 0, giving the double root x = 3.
Steps: 10
Show Steps
Step 1: Start with the equation 4x^2 - 12x + 9 = 0.
Step 2: Look for two numbers that multiply to (4 * 9) = 36 and add to -12.
Step 3: The numbers -6 and -6 work because -6 * -6 = 36 and -6 + -6 = -12.
Step 4: Rewrite the middle term using these numbers: 4x^2 - 6x - 6x + 9 = 0.
Step 5: Group the terms: (4x^2 - 6x) + (-6x + 9) = 0.
Step 6: Factor out the common factors: 2x(2x - 3) - 3(2x - 3) = 0.
Step 7: Now, factor by grouping: (2x - 3)(2x - 3) = 0.
Step 8: Set each factor equal to zero: 2x - 3 = 0.
Step 9: Solve for x: 2x = 3, so x = 3/2.
Step 10: Since both factors are the same, this is a double root, so x = 3.
Related Questions
F
Find the value of x in the equation x^2 + 6x + 9 = 0.
Question: Find the value of x in the equation x^2 + 6x + 9 = 0.Options: x = -3x = 3x = 0x = -9Correc..
I
If 5x - 2 = 3x + 6, what is the value of x?
Question: If 5x - 2 = 3x + 6, what is the value of x?Options: x = 2x = 3x = 4x = 5Correct Answer: x ..
S
Solve for x: 2x + 3 = 11
Question: Solve for x: 2x + 3 = 11Options: 2345Correct Answer: 3Solution: Subtract 3 from both sides..
W
What are the roots of the equation x^2 - 5x + 6 = 0?
Question: What are the roots of the equation x^2 - 5x + 6 = 0?Options: 1 and 62 and 33 and 40 and 6C..
I
If x^2 + 4x + 4 = 0, what is the value of x?
Question: If x^2 + 4x + 4 = 0, what is the value of x?Options: -220-4Correct Answer: -2Solution: Thi..
‹
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
✕
↑
