Question

SOLVE THIS PLEASE...!!

Answer 1

ANSWER

$\huge\boxed{\blue{c=1}}$

STEPS

${x}^{2} - px - {p + c} \\ \alpha + \beta = \frac{ - b}{a} \\ \alpha + \beta = \frac{p}{1} = p \\ \alpha \beta = (- p + c) \\ it \: is \: given \: that \: \alpha = 1 \: and \: \beta = - 1 \\ \alpha + \beta = p \\ 1 + - 1 = p \\ p = 0 \\ \alpha \beta = - p + c \\ - 1 = 0 + c \\ and \: thus \: c = 1$

$\huge{\red{Hope \:it \:helps}}$