Question

2. If a and are zeroes of the polynomial f(x)
=x-x-k such that a- B = 9, find k.
[CBSE 2013]
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Answer 1

correction : zeroes are a and b ; equation is

x^2-x-k

answer :

a-b =9 ( given)

a = 9+b _______1.

we know that , sum of zeroes = -b/a

• a+b = -1/1
• 9+b+b = -1
• b = -4

put in 1.

a = -4+9

a = 5

therefore,

product of zeroes = c/a

-4× 5 = -k/1

-20 = -k

or

k = 20

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