CLAT Exam > CLAT Questions > If the roots of the quadratic equationKx2+3x+...
Start Learning for Free
If the roots of the quadratic equation Kx2+3x+2=0 are real and unequal, which of the following is true for K?
- a)K>9/8
- b)K<9/8
- c)K<−9/8
- d)K>8/9
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the roots of the quadratic equationKx2+3x+2=0are real and unequal, ...
Roots are real and unequal, if D=b2−4ac>0 So, for equation kx2+3x+2=0 roots will be real and unequal, it D=(3)2−4×2×K>0 i.e., 9−8K>0 ⇒ K > 9/8
Most Upvoted Answer
If the roots of the quadratic equationKx2+3x+2=0are real and unequal, ...
If the roots of the quadratic equation Kx^2 + 3x + 2 = 0 are real and unequal, then the discriminant of the quadratic equation must be positive. The discriminant is given by the formula b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation.
In this case, a = K, b = 3, and c = 2. So the discriminant is:
(3)^2 - 4(K)(2) = 9 - 8K.
For the roots to be real and unequal, the discriminant must be positive:
9 - 8K > 0.
Simplifying this inequality, we get:
-8K > -9.
Dividing both sides by -8 (and reversing the inequality because we are dividing by a negative number), we get:
K < />
Therefore, the correct answer is:
a) K < 9/8.="" />
In this case, a = K, b = 3, and c = 2. So the discriminant is:
(3)^2 - 4(K)(2) = 9 - 8K.
For the roots to be real and unequal, the discriminant must be positive:
9 - 8K > 0.
Simplifying this inequality, we get:
-8K > -9.
Dividing both sides by -8 (and reversing the inequality because we are dividing by a negative number), we get:
K < />
Therefore, the correct answer is:
a) K < 9/8.="" />
|
Explore Courses for CLAT exam
|
|
Similar CLAT Doubts
Top Courses for CLATView all
If the roots of the quadratic equationKx2+3x+2=0are real and unequal, which of the following is true for K?a)K>9/8b)K<9/8c)K<−9/8d)K>8/9Correct answer is option 'B'. Can you explain this answer?
Question Description
If the roots of the quadratic equationKx2+3x+2=0are real and unequal, which of the following is true for K?a)K>9/8b)K<9/8c)K<−9/8d)K>8/9Correct answer is option 'B'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about If the roots of the quadratic equationKx2+3x+2=0are real and unequal, which of the following is true for K?a)K>9/8b)K<9/8c)K<−9/8d)K>8/9Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the roots of the quadratic equationKx2+3x+2=0are real and unequal, which of the following is true for K?a)K>9/8b)K<9/8c)K<−9/8d)K>8/9Correct answer is option 'B'. Can you explain this answer?.
If the roots of the quadratic equationKx2+3x+2=0are real and unequal, which of the following is true for K?a)K>9/8b)K<9/8c)K<−9/8d)K>8/9Correct answer is option 'B'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about If the roots of the quadratic equationKx2+3x+2=0are real and unequal, which of the following is true for K?a)K>9/8b)K<9/8c)K<−9/8d)K>8/9Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the roots of the quadratic equationKx2+3x+2=0are real and unequal, which of the following is true for K?a)K>9/8b)K<9/8c)K<−9/8d)K>8/9Correct answer is option 'B'. Can you explain this answer?.
Solutions for If the roots of the quadratic equationKx2+3x+2=0are real and unequal, which of the following is true for K?a)K>9/8b)K<9/8c)K<−9/8d)K>8/9Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT.
Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
Here you can find the meaning of If the roots of the quadratic equationKx2+3x+2=0are real and unequal, which of the following is true for K?a)K>9/8b)K<9/8c)K<−9/8d)K>8/9Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the roots of the quadratic equationKx2+3x+2=0are real and unequal, which of the following is true for K?a)K>9/8b)K<9/8c)K<−9/8d)K>8/9Correct answer is option 'B'. Can you explain this answer?, a detailed solution for If the roots of the quadratic equationKx2+3x+2=0are real and unequal, which of the following is true for K?a)K>9/8b)K<9/8c)K<−9/8d)K>8/9Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of If the roots of the quadratic equationKx2+3x+2=0are real and unequal, which of the following is true for K?a)K>9/8b)K<9/8c)K<−9/8d)K>8/9Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the roots of the quadratic equationKx2+3x+2=0are real and unequal, which of the following is true for K?a)K>9/8b)K<9/8c)K<−9/8d)K>8/9Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CLAT tests.
|
|
Explore Courses for CLAT exam
|
|
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