Question

2.If Zeroes of the polynomial P(x)=kx-29x+10 are reciprocal of each other, then find the
value of k.​

Answer 1

Step-by-step explanation:

Let α and

α

1

be the roots of k

2

x

2

−17x+(k+2)

So, product of roots =α×

α

1

⇒α×

α

1

=

k

2

k+2

⇒k

2

=k+2

⇒k

2

−k−2=0

⇒k=2 and k=−1

But k>0,∴k=2

Hence, option A is the correct answer.