Question

if alpha and beta are the roots of the equation 3x2+ 8 x + 2 =0 then ( 1/alpha + 1/beta )=​

Answer 1

3x²+8x+2 = 0

a=3 , b=8 , c=2

sum of quadratic equation = -b/a

α+β = -(8)/3

α+β = -8/3 ⇒ equation (a)

product of quadratic equation = c/a

αβ = 2/3 ⇒ equation (b)

1/α +1/β = β+α/αβ ⇒ (by cross mutiplication)

= -8/3 ÷ 2/3 (by equation a & b)

= -4 is correct answer