Question

If one root of 2x

2 + 13x+k = 0 is reciprocals of the other, then k is a) 2 b) 5 c) 1

6

d) 6
​

Answer 1

Answer:

Let one root of the given that other zero is Reciprocal the one zero.

So,

Other zero=1/Alpa.

Given polynomial is 5x

2

+13x+k=0.

Here,

A=coefficient of x

2

B=coefficient of x

And,C=constant term.

Product of zeroes =C/A

Alpha ×1/Alpha =K/5

1=K/5

K=5

Then,

We get k=5.