Class 10 Exam > Class 10 Questions > if the zeros of quadratic polynomial x^2+(a+1...
Start Learning for Free
if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b.
Most Upvoted Answer
if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then fi...
X^2 + ( a +1) x + b
alpha = 2
beeta = -3
Sum of zeroes = - b / a
alpha + beeta = - ( a + 1) / 1
2 + ( -3) = - a - 1
-1 = - a - 1
-1 +1 = - a
-a = 0
a = - 0 i.e , 0
Product of zeroes = c / a
2 × ( -3 ) = c /1
-6 = c / 1
c = - 6
alpha = 2
beeta = -3
Sum of zeroes = - b / a
alpha + beeta = - ( a + 1) / 1
2 + ( -3) = - a - 1
-1 = - a - 1
-1 +1 = - a
-a = 0
a = - 0 i.e , 0
Product of zeroes = c / a
2 × ( -3 ) = c /1
-6 = c / 1
c = - 6
Community Answer
if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then fi...
Given:
Zeros of quadratic polynomial x^2 (a 1)x b are 2 and -3.
To find:
The value of a and b.
Solution:
Given that the zeros of the quadratic polynomial are 2 and -3. We know that the sum of the roots of a quadratic polynomial is given by -b/a and the product of the roots is given by c/a. Therefore,
Sum of roots = 2 + (-3) = -1 = -b/a
Product of roots = 2 x (-3) = -6 = c/a
Multiplying both sides of the first equation with 'a', we get:
-b = a
Substituting this value of 'b' in the second equation, we get:
-6 = c/(-b)
-6 = c/(-a) [Substituting the value of b]
6a = c
Therefore, the value of a is -b and the value of c is 6a.
Substituting the value of a and c in the given quadratic polynomial, we get:
x^2 (-b 1)x 6a
= x^2 -bx 6a
= x^2 -(-a) x 6a
= x^2 + ax - 6a
Therefore, the required quadratic polynomial is x^2 + ax - 6a, where a = -b and c = 6a.
Hence, the value of a and b are unknown unless given the value of c.
Zeros of quadratic polynomial x^2 (a 1)x b are 2 and -3.
To find:
The value of a and b.
Solution:
Given that the zeros of the quadratic polynomial are 2 and -3. We know that the sum of the roots of a quadratic polynomial is given by -b/a and the product of the roots is given by c/a. Therefore,
Sum of roots = 2 + (-3) = -1 = -b/a
Product of roots = 2 x (-3) = -6 = c/a
Multiplying both sides of the first equation with 'a', we get:
-b = a
Substituting this value of 'b' in the second equation, we get:
-6 = c/(-b)
-6 = c/(-a) [Substituting the value of b]
6a = c
Therefore, the value of a is -b and the value of c is 6a.
Substituting the value of a and c in the given quadratic polynomial, we get:
x^2 (-b 1)x 6a
= x^2 -bx 6a
= x^2 -(-a) x 6a
= x^2 + ax - 6a
Therefore, the required quadratic polynomial is x^2 + ax - 6a, where a = -b and c = 6a.
Hence, the value of a and b are unknown unless given the value of c.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Top Courses for Class 10View all
if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b.
Question Description
if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b. for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b. covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b..
if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b. for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b. covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b..
Solutions for if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b. in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b. defined & explained in the simplest way possible. Besides giving the explanation of
if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b., a detailed solution for if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b. has been provided alongside types of if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b. theory, EduRev gives you an
ample number of questions to practice if the zeros of quadratic polynomial x^2+(a+1)x+b are 2 and -3 then find the value of a and b. tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup