Question

if alpha and beta are the zeroes of polynomial ax2 + bx + c find the value of one by alpha plus one by beta minus 2alpha beta​

Answer 1

Answer:

$\green{-3}$

Step-by-step explanation:

if alpha and beta are the zeroes of the polynomial

dç

$\underline{ax^2+bx+x}$

To find the value of

$\frac{1}{ \alpha } + \frac{1}{ \beta } - 2 \alpha \beta$

we need to find the sum and the product of the zeroes

alpha+beta=-b/a

where

-b=-(1)=-1

a=1

alpha x beta =c/a

where

c=1

a=1

putting the values we get

alpha + beta=-1/1=-1

alpha x beta =1/1=1

now putting the values we get

$\boxed{1/alpha+1/beta-2(alpha*beta)}$

$\blue{alpha + beta/alpha*beta-2(alpha*beta)}$

$\blue{-1/1-2(1)}$

$\boxed{-3}$