Question

If one root of polynomial 5x^2+13x+k is reciprocal of the other than find the value of k .

Pls give asap it’s urgent

Answer 1

Answer:

k=5

Step-by-step explanation:

Product of roots of a quadratic equation is c/a

Hence, product of roots of this equation is 1

k/5=1

Hence k=5

Hope it helped..

Answer 2

Answer:

5

Step-by-step explanation:

p(x)=$5x^2+13x+k$

Let one zero be α.

A/q,

α=1/β

or  αβ=1

We know,  αβ=c/a

αβ=k/5

or k/5 = 5

k=5