Question

If a – b, a and a + b are zeroes of the polynomial − + − .then find a and b.

Answer 1

Answer:

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Answer 2

Answer:

a−b,a,a+b are zeroes of x

3

−3x

2

+x+1

⇒a−b+a+a+b= sum of zeroes = 3

⇒3a=3

⇒a=1

(a−b)(a)(a+b)= product of zeroes =−1

⇒(1−b)(1+b)=−1

⇒1−b

2

=−1

⇒b

2

=2

⇒b=±

2