Question

If alpha and beta are the roots of Quadratic equation 3x² +8x + 2 = 0 then (1/alpha+1/beta) is
a) - 4
b)4
c)2/3 d)-3/8

please send ans. as quick as possible​

Answer 1

Answer:

-8/3 divided by 2/3 = 1/alpha + 1/beta = -8/3 * 3/2

therefore, 1/alpha + 1/beta = -4

Step-by-step explanation:

Answer 2

Answer:

(a) -4

Step-by-step explanation:

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.