Question

If α, β are the zeros of the polynomial f(x) = x2 + x + 1, then 1
/a
+
1
/b= …….

a) 1
b) -1
c) 0
d) None of these​

Answer 1

Answer:

Step-by-step explanation:

Given $\alpha and\beta$ are the roots of Polynomial f(x)=x^2+x+1   where  (a=1 , b=1 , c=1)

We have To find 1/$\alpha$ + 1/$\beta$=$(\alpha +\beta )/\alpha \beta$     . . . ..(1)

And we also know that sum of roots(zeroes) of quadratic polynomial = -b/a

$\alpha +\beta =-b/a$=-1/1=-1  . . . .. (2)

Product of roots of quadratic polynomial =c/a

$\alpha \beta =c/a=1/1=1$   . . . . . .(3)

Put the values of (2) and (3) in (1)

we get

-1/1=-1 ANS