Question

13. If a and B are zeroes of the polynomial - 1 1 - such that (a + 1)
(B + 1) = 0, find the value of b.
2 find X​

Answer 1

Step-by-step explanation:

Since A and B are the zeros of the polynomial

f ( x ) = x2 - 5x + k

The standard quadratic equation is

px2 + qx + r = 0

the sum of roots = q / p

and product of roots = r / p

therefore,

a + b = 5 and ab = k

Now,

a - b = 1

( a - b )square = 1

( a + b )square - 4ab = 1

25 - 4k = 1

24 = 4k

k = 6