Math, asked by nisha7931, 1 year ago

If alpha and beta are the zeros of quadratic polynomial f(x)=x2-x-4 find the value of 1/alpha + 1/ beta - alphabeta

siddhikardp: Are you sure about fx??

siddhikardp: Becoz in this case mts is difficult

Answers

Answered by ignitedlearner

$given \: quadratic \: polynomial \: f(x) = x2 - x - 4 \\ to \: find$
sum of roots = -b/a= 1= alpha +beta
product of roots = c/a = -4/1 = -4= alpha*beta
1/alpha +1/beta -alpha*beta
= (alpha+beta/alpha*beta )-alpha*beta
=( 1/-4)-(-4) = -(1/4)+4 = 16-1/4 = 15/4 = 3.75

siddhikardp: This method is wrong ...

siddhikardp: we have to first find the zeroes of fx

siddhikardp: becoz you cant write the sum's reciprocal

siddhikardp: Ohk. Got it bro ..thanks

Answered by ronalshoey

Hey,

sum of roots = -b/a= 1= alpha +beta

product of roots = c/a = -4/1 = -4= alpha*beta

1/alpha +1/beta -alpha*beta

= (alpha+beta/alpha*beta )-alpha*beta

=( 1/-4)-(-4) = -(1/4)+4 = 16-1/4 = 15/4 = 3.75

pls do mark as brainliest :)

Previous Question

Next Question