Question

if one root of 5 x square + 13 x + k

is reciprocal of the Other root find the value of k

Answer 1

Answer:

5

Step-by-step explanation:

Let say roots are a and 1/a

(x-a)(x-1/a) = 0

x^2 -x (a+1/a) + 1 = 0

5x^2 -5x(a+1/a) + 5 = 0

5x^2 + 13x + k = 0

k = 5