Question

If a and B are zeroes of the quadratic polynomial x^2 - 5x + k such that a- B = 1
find the value of 'k'.​

Answer 1

Step-by-step explanation:

As a and b are zeroes of polynomial

Given a-b=1 ___(1)

We know a+b=5___(2)

And a. b=k ___(3)

From (1)and(2)

2a=6

a=3

Put a in eq ____(1)

3-b=1

b=2

Put value of a and b in eq_____(3)

3.2=k

6=k