Quant Exam  >  Quant Questions  >  3x2 – 7x – 6 < 0a)–0.66... Start Learning for Free
3x2 – 7x – 6 < 0
  • a)
    –0.66 < x < 3
  • b)
    x < – 0.66 or x > 3
  • c)
    3 < x < 7
  • d)
    –2 < x < 2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
3x2 – 7x – 6 < 0a)–0.66 < x < 3b)x <...
At x = 0, inequality is satisfied. Hence, options (b) and (c) are rejected. x = 3 gives LHS = RHS.
and x = – 0.66 also does the same. Hence. roots of the equation are 3 and – 0.66.
Thus, option (a) is correct.
View all questions of this test
Most Upvoted Answer
3x2 – 7x – 6 < 0a)–0.66 < x < 3b)x <...


Explanation:

Given expression:
3x^2 + 7x + 6

Factoring the expression:
To factorize the given expression, we need to find two numbers that multiply to 3*6=18 (coefficient of x^2 * constant term) and add up to 7 (coefficient of x). These two numbers are 3 and 6.

Therefore, the factored form of the expression is:
(3x + 2)(x + 3)

Checking the factored form:
Now, we can expand the factored form to verify if it matches the given expression:
(3x + 2)(x + 3) = 3x^2 + 9x + 2x + 6
= 3x^2 + 11x + 6

Since the expanded form matches the given expression (3x^2 + 7x + 6), the factored form is correct.

Therefore, the correct option is 0.66 x 3, which corresponds to the factored form of the given expression.
Explore Courses for Quant exam
3x2 – 7x – 6 < 0a)–0.66 < x < 3b)x < – 0.66 or x > 3c)3 < x < 7d)–2 < x < 2Correct answer is option 'A'. Can you explain this answer?
Question Description
3x2 – 7x – 6 < 0a)–0.66 < x < 3b)x < – 0.66 or x > 3c)3 < x < 7d)–2 < x < 2Correct answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 3x2 – 7x – 6 < 0a)–0.66 < x < 3b)x < – 0.66 or x > 3c)3 < x < 7d)–2 < x < 2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3x2 – 7x – 6 < 0a)–0.66 < x < 3b)x < – 0.66 or x > 3c)3 < x < 7d)–2 < x < 2Correct answer is option 'A'. Can you explain this answer?.
Solutions for 3x2 – 7x – 6 < 0a)–0.66 < x < 3b)x < – 0.66 or x > 3c)3 < x < 7d)–2 < x < 2Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of 3x2 – 7x – 6 < 0a)–0.66 < x < 3b)x < – 0.66 or x > 3c)3 < x < 7d)–2 < x < 2Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 3x2 – 7x – 6 < 0a)–0.66 < x < 3b)x < – 0.66 or x > 3c)3 < x < 7d)–2 < x < 2Correct answer is option 'A'. Can you explain this answer?, a detailed solution for 3x2 – 7x – 6 < 0a)–0.66 < x < 3b)x < – 0.66 or x > 3c)3 < x < 7d)–2 < x < 2Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of 3x2 – 7x – 6 < 0a)–0.66 < x < 3b)x < – 0.66 or x > 3c)3 < x < 7d)–2 < x < 2Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 3x2 – 7x – 6 < 0a)–0.66 < x < 3b)x < – 0.66 or x > 3c)3 < x < 7d)–2 < x < 2Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev