Question

If a and B are the zeroes of the polynomial f(x) = x2-x-k such that a-B=9. Find k.
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Answer 1

Step-by-step explanation:

20

Step-by-step explanation:

The given polynomial is:

If α and β are the zeroes of the given polynomial, then the sum of zeroes that is:

α+β=1 and the product of the zeroes that is αβ=-k

Also, it is given that α-β=9, then using α+β=1 and α-β=9 and solving by the elimination method, we get α=5 and β=-4.

Now, αβ=-k⇒5(-4)=-k

⇒k=20