Question

If α and β are the roots of the equation 3x² + 8x + 2 = 0, then 1/α + 1/β = _________.

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Answer 1

Answer:

-8/2

Step-by-step explanation:

Equation is 3x² + 8x + 2

On comparing this equation ,

a = 3 , b = 8 , c = 2

Now,

(1)

We know,

Sum of zeroes = -b /a

=> α + β = -8/3

Also,

(2)

product of zeroes = c/a

αβ = 2/3

Given,

(1/α) + (1/β)

=> (α + β)/αβ

=> (-8/3) * (3/2)

=> -8/2

Hope it helps!