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The quadratic equation 
has two roots 4a and 3a, where a is an integer. Which of the following is a possible value of 
has two roots 4a and 3a, where a is an integer. Which of the following is a possible value of - a)3721
- b)361
- c)427
- d)549
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The quadratic equation has two roots 4a and 3a, where a is an integer....
Given,
The quadratic equation x2 + bx + c = 0 has two roots 4a and 3a
7a = -b
12a2 = c
We have to find the value of
b2 + c = 49a2 + 12a2 = 61a2
Now lets verify the options
61a2 = 3721 ==> a = 7.8 which is not an integer
61a2 = 361 ==> a = 2.42 which is not an integer
61a2 = 427 ==> a = 2.64 which is not an integer
61a2 = 3721 ==> a = 3 which is an integer
The quadratic equation x2 + bx + c = 0 has two roots 4a and 3a
7a = -b
12a2 = c
We have to find the value of
b2 + c = 49a2 + 12a2 = 61a2
Now lets verify the options
61a2 = 3721 ==> a = 7.8 which is not an integer
61a2 = 361 ==> a = 2.42 which is not an integer
61a2 = 427 ==> a = 2.64 which is not an integer
61a2 = 3721 ==> a = 3 which is an integer
Most Upvoted Answer
The quadratic equation has two roots 4a and 3a, where a is an integer....
Roots are given as 4a and 3a
summation of root is given as -b/a which are coefficient in equation
so 7a =-b
multiplication of roots is given as c/a which is 12a²
now b²+c is 49a² +12a²=61a²
it is also given that a is an integer
now try from option
A) a²=3721/61=61; a²=61(not possible for a to be integer(
B) a²=361/61= around 6 so not possible
C)a²= 427/61= 7 so not possible
D) a²=549/61= 9 so a=3
so answer is D
summation of root is given as -b/a which are coefficient in equation
so 7a =-b
multiplication of roots is given as c/a which is 12a²
now b²+c is 49a² +12a²=61a²
it is also given that a is an integer
now try from option
A) a²=3721/61=61; a²=61(not possible for a to be integer(
B) a²=361/61= around 6 so not possible
C)a²= 427/61= 7 so not possible
D) a²=549/61= 9 so a=3
so answer is D
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Community Answer
The quadratic equation has two roots 4a and 3a, where a is an integer....
Given,
The quadratic equation x2 + bx + c = 0 has two roots 4a and 3a
7a = -b
12a2 = c
We have to find the value of
b2 + c = 49a2 + 12a2 = 61a2
Now lets verify the options
61a2 = 3721 ==> a = 7.8 which is not an integer
61a2 = 361 ==> a = 2.42 which is not an integer
61a2 = 427 ==> a = 2.64 which is not an integer
61a2 = 3721 ==> a = 3 which is an integer
The quadratic equation x2 + bx + c = 0 has two roots 4a and 3a
7a = -b
12a2 = c
We have to find the value of
b2 + c = 49a2 + 12a2 = 61a2
Now lets verify the options
61a2 = 3721 ==> a = 7.8 which is not an integer
61a2 = 361 ==> a = 2.42 which is not an integer
61a2 = 427 ==> a = 2.64 which is not an integer
61a2 = 3721 ==> a = 3 which is an integer
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The quadratic equation has two roots 4a and 3a, where a is an integer. Which of the following is a possible value ofa)3721b)361c)427d)549Correct answer is option 'D'. Can you explain this answer?
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The quadratic equation has two roots 4a and 3a, where a is an integer. Which of the following is a possible value ofa)3721b)361c)427d)549Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The quadratic equation has two roots 4a and 3a, where a is an integer. Which of the following is a possible value ofa)3721b)361c)427d)549Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The quadratic equation has two roots 4a and 3a, where a is an integer. Which of the following is a possible value ofa)3721b)361c)427d)549Correct answer is option 'D'. Can you explain this answer?.
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