Question

if alfa and bita are the zeroes of 2x*x+x+1 then find the value 1/alfa +1/bita​

Answer 1

Answer:

-1

Step-by-step explanation:

we know for a quadratic equation of form ax² + bx + c = 0, the sum of roots = -b/a and product of roots = c/a.

The given equation is 2x² + x + 1

a = 2, b = 1, c = 1

since α and β be are zeroes of the equation,

α + β(sum of zeros) = -1/2

αβ(product of zeros) = 1/2.

Now

1/α + 1/β = α + β /αβ = (-1/2) / (1/2)  = -1