Question

if alpha and beta are the zeros of polynomial x^2-4root3x+3 and find value of alpha +beta -alpha*beta​

Answer 1

Step-by-step explanation:

We know that for any quadratic polynomial

p(x)=ax

2

+bx+c where a



=0

Let α,β be the zeroes of the polynomial p(x)

Then, α+β=

a

−b

and αβ=

a

c

Now, given that

p(x)=x

2

−4

3

x+3

So, we have α+β=4

3

αβ=3

Using above values we get

α+β −(αβ)=4

3

−3