CA Foundation Exam > CA Foundation Questions > The values of x in the equation 7(x+2p)2+5p2=...
Start Learning for Free
The values of x in the equation 7(x+2p)2+5p2=35xp+117p2 are
- a)(4p, -3p)
- b)(4p, 3p)
- c)(-4p, 3p)
- d)(-4p, -3p)
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b...
Solution:
Given equation is 7(x -2p)² + 5p² = 35xp + 117p².
We are asked to find the values of x which satisfy this equation.
Step 1: Simplify the equation
7(x -2p)² = 35xp + 117p² - 5p²
7(x -2p)² = 35xp + 112p²
(x -2p)² = 5xp + 16p²
x² - 4xp + 4p² = 5xp + 16p²
x² - 9xp + 12p² = 0
Step 2: Factorize the equation
(x - 3p)(x - 4p) = 0
Step 3: Find the values of x
x - 3p = 0 or x - 4p = 0
x = 3p or x = 4p
Therefore, the values of x that satisfy the equation are x = 3p and x = 4p.
Answer: Option A (4p, -3p)
Given equation is 7(x -2p)² + 5p² = 35xp + 117p².
We are asked to find the values of x which satisfy this equation.
Step 1: Simplify the equation
7(x -2p)² = 35xp + 117p² - 5p²
7(x -2p)² = 35xp + 112p²
(x -2p)² = 5xp + 16p²
x² - 4xp + 4p² = 5xp + 16p²
x² - 9xp + 12p² = 0
Step 2: Factorize the equation
(x - 3p)(x - 4p) = 0
Step 3: Find the values of x
x - 3p = 0 or x - 4p = 0
x = 3p or x = 4p
Therefore, the values of x that satisfy the equation are x = 3p and x = 4p.
Answer: Option A (4p, -3p)
Free Test
FREE
| Start Free Test |
Community Answer
The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b...
7(x+2p)^2+5p^2=35p+117p^2
7(x^2+4p^2+4xp)+5p^2=35xp+117p^2
7x^2+28xp+28p^2+5p^2-35xp-117x^2=0
Simplifying,
7x^2-7x-84p^2=0
x^2-xp-12p^2=0
x^2-4xp+3xp-12p^2=0
x(x-4p)+3p(x-4p)=0
(x-4p)(x+3p)=0
x-4p=0 or x+3p=0
x=4p x=-3p
Therefore,The values of x are (4p,-3p)
Option A
7(x^2+4p^2+4xp)+5p^2=35xp+117p^2
7x^2+28xp+28p^2+5p^2-35xp-117x^2=0
Simplifying,
7x^2-7x-84p^2=0
x^2-xp-12p^2=0
x^2-4xp+3xp-12p^2=0
x(x-4p)+3p(x-4p)=0
(x-4p)(x+3p)=0
x-4p=0 or x+3p=0
x=4p x=-3p
Therefore,The values of x are (4p,-3p)
Option A
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b)(4p, 3p)c)(-4p, 3p)d)(-4p, -3p)Correct answer is option 'A'. Can you explain this answer?
Question Description
The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b)(4p, 3p)c)(-4p, 3p)d)(-4p, -3p)Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b)(4p, 3p)c)(-4p, 3p)d)(-4p, -3p)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b)(4p, 3p)c)(-4p, 3p)d)(-4p, -3p)Correct answer is option 'A'. Can you explain this answer?.
The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b)(4p, 3p)c)(-4p, 3p)d)(-4p, -3p)Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b)(4p, 3p)c)(-4p, 3p)d)(-4p, -3p)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b)(4p, 3p)c)(-4p, 3p)d)(-4p, -3p)Correct answer is option 'A'. Can you explain this answer?.
Solutions for The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b)(4p, 3p)c)(-4p, 3p)d)(-4p, -3p)Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b)(4p, 3p)c)(-4p, 3p)d)(-4p, -3p)Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b)(4p, 3p)c)(-4p, 3p)d)(-4p, -3p)Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b)(4p, 3p)c)(-4p, 3p)d)(-4p, -3p)Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b)(4p, 3p)c)(-4p, 3p)d)(-4p, -3p)Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The values of x in the equation 7(x+2p)2+5p2=35xp+117p2area)(4p, -3p)b)(4p, 3p)c)(-4p, 3p)d)(-4p, -3p)Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup