Question

if one root of the equation 5x²+13x+2k=0 is reciprocal to each other then k is​

Answer 1

Answer:

Step-by-step explanation:

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.