Question

if alpha and beta are zeros of polynomial x²+x-1 then find 1/alpha +1/beta
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Answer 1

Answer:

So here is the answer

1/æ+1/ẞ=1

Step-by-step explanation:

x²+x-1

Two required solutions acc. to discriminant method

we get x=(-1±√5)/2

now put these two value of x(one as A one as b)

You will get the answer 1

Answer 2

Answer:

Step-by-step explanation:

Given x² + x -1

On comparing with equation ax² + bx + c, we have

a = 1 ; b= 1 ; c = -1

Sum of zeroes :

α + β = -b/a = -1

Product of zeroes

αβ = c/a = -1

Now

1/α + 1/β = α+β/αβ

Using (1) and (2) in the given equation, we have

-1/-1 = 1