Question

If one root of polynomial f(x)=5x^2+13x+k is reciprocal of other. Find the value of k

Answer 1

This is your answer

Answer 2

Answer:

the the answer is 5

step by step explanation:

The Given polynomial is f(x) =5x²+13x+k.

The quadratic equation ax² + bx + c = 0

Product of roots = c/a

Here we have the equation 5x²+ 13x + k = 0

Product of roots = k/5

Given that the roots are reciprocals of each other. So if one root is y, the other would be 1/y. So, their product will always be 1.

1 = k/5

k = 5.

Hence, the value of k is 5