Question

if alpha and beta are the roots of the equation x²+2x+4=0 then 1/ alpha + 1/beta is equal to​

Answer 1

Answer:Given α,β are the roots of (x−a)(x−b)−c=0

⇒(x−a)(x−b)−c=(x−α)(x−β)

⇒(x−a)(x−b)=(x−α)(x−β)+c

⇒a,b are the roots of equation (x−α)(x−β)+c=0

Answer 2

Answer:

x²+2x+4

= 1/alpha+1/beta=??

a=1,b=2,c=4

alpha+beta=-b/a

alpha*beta=c/a

alpha+beta=-2/1

alpha*beta=4/1

1/alpha+1/beta

=alpha+beta/alpha*beta. (alcium lene per)

= -2/4

=-1/2