Math, asked by harpreet296, 11 months ago

if alpha and beta are the zeroes of the polynomial x² -6x +p. find the value of p, if 3 alpha + 2 beta = 20​

Answers

Answered by DhanyaDA
7

ANSWER:

given

p(x) =  {x}^{2}  - 6x + p

 \alpha  \\  \beta  \\ are \: the \: zeroes \: of \: the \: polynomial

and their relation given Is

3 \alpha  + 2 \beta  = 20

REQUIRED TO FIND:

value of p

METHOD:

in the attachment

IDENTITIES USED:

 > sum \: of \: roots \:  =  \dfrac{ - b}{a}

 > product \: of \: roots =  \dfrac{c}{a}

Attachments:

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