Quant Exam > Quant Questions > Practice Quiz or MCQ (Multiple Choice Questio...
Start Learning for Free
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for "Quadratic Equations" under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.
Q. Find the roots of the quadratic equation: x2 + 2x - 15 = 0?
- a)-5, 3
- b)3, 5
- c)-3, 5
- d)-3, -5
- e)5, 2
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
Rules for factorising:
ax^2 + bx + c = 0
m x n = c
m + n = b
∴(x+m)(x+n)=0
In this case: 5 x −3 = −15 = c
5 + −3 = 2 = b
∴ x^2 + 2x −15 = 0 → (x+5)(x−3) = 0
Either of the brackets must be equal to 0.
Assuming (x+5) = 0:
x = −5
Assuming (x-3) = 0:
x= 3
Most Upvoted Answer
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
1.multiply 1st term and last term of the eqn: 1*15 =15
2.now, find factors of 15 that sum of those two factors is the middle term of the eqn.
5 and -3 : when multiplied ans is: -15
and when added ans is: +2
3.change the sign of the factors i.e now factors are -5 and 3
therefore ans is: -5 , 3 (option A)
2.now, find factors of 15 that sum of those two factors is the middle term of the eqn.
5 and -3 : when multiplied ans is: -15
and when added ans is: +2
3.change the sign of the factors i.e now factors are -5 and 3
therefore ans is: -5 , 3 (option A)
Free Test
FREE
| Start Free Test |
Community Answer
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
Finding the Roots of a Quadratic Equation
To find the roots of a quadratic equation, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
Where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
Solving the Equation
Given the quadratic equation x² + 2x - 15 = 0, we can identify the coefficients:
a = 1
b = 2
c = -15
Substituting these values into the quadratic formula, we get:
x = (-2 ± √(2² - 4(1)(-15))) / 2(1)
x = (-2 ± √(4 + 60)) / 2
x = (-2 ± √64) / 2
Simplifying, we get:
x = (-2 + 8) / 2 or x = (-2 - 8) / 2
x = 6 / 2 or x = -10 / 2
x = 3 or x = -5
Therefore, the roots of the quadratic equation x² + 2x - 15 = 0 are x = 3 and x = -5.
Answer
The correct answer is option A, which lists the roots as -5 and 3.
To find the roots of a quadratic equation, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
Where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
Solving the Equation
Given the quadratic equation x² + 2x - 15 = 0, we can identify the coefficients:
a = 1
b = 2
c = -15
Substituting these values into the quadratic formula, we get:
x = (-2 ± √(2² - 4(1)(-15))) / 2(1)
x = (-2 ± √(4 + 60)) / 2
x = (-2 ± √64) / 2
Simplifying, we get:
x = (-2 + 8) / 2 or x = (-2 - 8) / 2
x = 6 / 2 or x = -10 / 2
x = 3 or x = -5
Therefore, the roots of the quadratic equation x² + 2x - 15 = 0 are x = 3 and x = -5.
Answer
The correct answer is option A, which lists the roots as -5 and 3.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Quadratic Equations"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.Find the roots of the quadratic equation: x2+ 2x - 15 = 0?a)-5, 3b)3, 5c)-3, 5d)-3, -5e)5, 2Correct answer is option 'A'. Can you explain this answer?
Question Description
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Quadratic Equations"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.Find the roots of the quadratic equation: x2+ 2x - 15 = 0?a)-5, 3b)3, 5c)-3, 5d)-3, -5e)5, 2Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Quadratic Equations"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.Find the roots of the quadratic equation: x2+ 2x - 15 = 0?a)-5, 3b)3, 5c)-3, 5d)-3, -5e)5, 2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Quadratic Equations"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.Find the roots of the quadratic equation: x2+ 2x - 15 = 0?a)-5, 3b)3, 5c)-3, 5d)-3, -5e)5, 2Correct answer is option 'A'. Can you explain this answer?.
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Quadratic Equations"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.Find the roots of the quadratic equation: x2+ 2x - 15 = 0?a)-5, 3b)3, 5c)-3, 5d)-3, -5e)5, 2Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Quadratic Equations"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.Find the roots of the quadratic equation: x2+ 2x - 15 = 0?a)-5, 3b)3, 5c)-3, 5d)-3, -5e)5, 2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Quadratic Equations"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.Find the roots of the quadratic equation: x2+ 2x - 15 = 0?a)-5, 3b)3, 5c)-3, 5d)-3, -5e)5, 2Correct answer is option 'A'. Can you explain this answer?.
Solutions for Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Quadratic Equations"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.Find the roots of the quadratic equation: x2+ 2x - 15 = 0?a)-5, 3b)3, 5c)-3, 5d)-3, -5e)5, 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 Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Quadratic Equations"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.Find the roots of the quadratic equation: x2+ 2x - 15 = 0?a)-5, 3b)3, 5c)-3, 5d)-3, -5e)5, 2Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Quadratic Equations"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.Find the roots of the quadratic equation: x2+ 2x - 15 = 0?a)-5, 3b)3, 5c)-3, 5d)-3, -5e)5, 2Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Quadratic Equations"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.Find the roots of the quadratic equation: x2+ 2x - 15 = 0?a)-5, 3b)3, 5c)-3, 5d)-3, -5e)5, 2Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Quadratic Equations"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.Find the roots of the quadratic equation: x2+ 2x - 15 = 0?a)-5, 3b)3, 5c)-3, 5d)-3, -5e)5, 2Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for"Quadratic Equations"under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.Find the roots of the quadratic equation: x2+ 2x - 15 = 0?a)-5, 3b)3, 5c)-3, 5d)-3, -5e)5, 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.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily