Question

. If one of the roots of the polynomial p(x) = 5

2 + 13x + k is reciprocal of the other, then

what is the value of k?​

Answer 1

Answer:

k = 5

...................

Answer 2

Answer:

⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇

Given polynomial,

p(x) = 5x² + 13x + k

★The general form of quadratic equation is " ax² + bx + c = 0 "

⟹ Products of the roots = c/a

➡ Products of the 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.

Therefore, the value of k is 5.

⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

✌✌✌✌