Question

if alpha ,beta are the zeroes of the polynomial f(n)=x2+x+1 then find 1/alpha+1/beta
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Answer 1

Answer:

Step-by-step explanation:

Hope it will help you.

Answer 2

Your Answer:

Given:-

• Alpha and beta are the zeroes
• $\tt x^2+x+1 \ \ is \ \ the \ \ Quadratic \ \ polynomial$

To Find:-

The value of 1/alpha + 1/beta

Solution:-

We know that

alpha + beta = -b/a

and

alpha * beta = c/a

So, we have

a = 1

b = 1

c = 1

So,

alpha + beta

= -b/a

= -1/1

= -1

AND

alpha * beta

= c/a

= 1/1

= 1

Now finding

1/alpha + 1/beta

= alpha + beta / alpha * beta

Replacing values now

= -1/1

= -1

So, The answer is -1