Question

If one root of the polynomial f x 5x2+13x+k is reciprocal of the other then the value of k is reciprocal of the other, then the value of k is

Answer 1

Answer:

5

Step-by-step explanation:

5x^2+13x+k

according to question,

beta=1/alpha

product = alpha × beta = k/5

alpha×1/alpha=k/5

1=k/5

k=5(answer)

Answer 2

k = 5

• a = 5 ,
• b = 13 ,
• c = k

• $(root_{1} )\times ( root_{2}) = \frac{c}{a}$