Ifa,ß are the zeros of the polynomial 3×2 + 5x + k such that a² + B2 + =19/9 then find the v Question Ifa,ß are the zeros of the polynomial 3×2 + 5x + k such that a² + B2 +=19/9then find the value of k. in progress 0 Math Savannah 2 weeks 2021-09-09T15:21:45+00:00 2021-09-09T15:21:45+00:00 1 Answer 0 views 0

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Step-by-step explanation:Brainly.in

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amishagour

28.06.2018

Math

Secondary School

+5 pts

Answered

if alpha and beta are the zeroes of the polynomial x2-5x+k, such that alpha-beta=1, find the value of k

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Aurora34 Genius

We know that,

sum of zeroes= -b/a

\alpha + \beta = 5

________________________(1)

also,

product of zeroes= c/a

\alpha \beta = k

_______________________(2)

Given:

\alpha – \beta = 1

______________________(3)

from (1) and (3)

\alpha + \beta = 5 \\ \alpha – \beta = 1 \ \: \: \: \: (on \: \: adding) \\ …………….. \\ 2 \alpha = 6 \\ \\ \alpha = 3 \\ \\ put \: \: this \: \: in \: \: (3) \\ \\ 3 – \beta = 1 \\ \\ – \beta = – 2 \\ \\ \beta = 2

now put this value in (3)

\alpha \beta = k \\ \\ 2 \times 3 = k \\ \\ 6 = k