Question

if px^2+3x+q=0 has two roots x=-1 and x=-2,find p-q

Answer 1

it is your correct answer bro

Answer 2

Hey friend!!!


Here's ur answer...


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$p {x} \\ ^{2} + 3x + q = 0 \\ \\if \: x = - 1 \\ \\ p( - 1 {)}^{2} + 3( - 1) + q = 0 \\ p - 3 + q = 0 \\ p + q = 3 - - - - (1) \\ \\ \\ if \: x = - 2 \\ p( - 2 {)}^{2} + 3( - 2) + q = 0 \\ 4p - 6 + q = 0 \\ 4p + q = 6 - - - - - (2) \\ \\ \\ subtract \: (1) \: from \: (2) \\ 4p + q - p - q = 6 - 3 \\ 3p = 3 \\ p = 1 \\ \\ put \: in \: (1) \\ \\ 1 + q = 3 \\ \\ q = 2 \\ \\ p - q = 1 - 2 \\ = - 1$




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Hope it may help you....


Thank you :) :)))