Question

If one root of quadratic polynomial 2x² – 3x + k is reciprocal to the other
then find the value of k.​

Answer 1

Answer:

Let α be the first root of the polynomial 2x

2

−3x+k.

Then according to question other root is

α

1

.

Now, product of roots=

coefficientofx

2

constantterm

⇒α×

α

1

=

2

k

⇒k=2

Option A is correct

Step-by-step explanation:

• Mark me as brainliest

Answer 2

Answer:

k = 2

Step-by-step explanation:

let the one root = alfa

and the reciprocal = 1/ alfa

product of roots = c/a

alfa × beta = c/a

alfa × 1/ alfa = k/2. ( alfa alfa are cut )

1 = k/2.

1×2 = k

2 = k

k =2

Note : In this type of Questions

We always solve product of roots

if we take sum of roots so it makes very difficult or not give solution