Question

if the sum of the roots of the equation 4x^​2+bx+c=0 is equal to the product of their reciprocal find the value of bc

Answer 1

Answer:

p(x) =4x²+bx+c

α+β = -b/4

αβ = c/4

ACCORDING TO QUESTION

⇒ α+β = 1/αβ

⇒ (α+β)(αβ) = 1

⇒ -b/4 × c/4 = 1

⇒ -bc/16 = 1

⇒ -bc = 16

⇒  bc = -16