Question

if value of quadratic polynomial is (k-1) x²+(a-1)x-b value of k is​

Answer 1

Step-by-step explanation:

Given quadratic polynomial is x

2

+kx+k

For equal zeroes, b

2

−4ac=0

⇒(k)

2

−4(1)(k)=0

⇒k

2

−4k=0

⇒k(k−4)=0

⇒k=0 or k=4

But k>1 and k is an odd integer

Hence, there exists no value of k where the quadratic polynomial x

2

+kx+k have equal zeroes for some odd integer k>1.