Question

if one root of 5x^2 +13x +k =0 is the reciprocal of the root , then find the value of K.​

Answer 1

Answer:

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

Answer 2

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.