Question

if zeroes α and β of a polynomial x²-7x+k are such that α-β=1,then find the value of k .

Answer 1

is is quiet easy , and please mark it brainliest buddy

Answer 2

$\alpha + \beta = \frac{ - b}{a}$
$\alpha + \beta = 7 \: equation \: i$

$\alpha \beta = \frac{c}{a}$
$\alpha \beta = k \: let \: this \: be \: equaion \: ii$

$now \: taking \: eqquation \: i \: and \: given \\ equation \\ we \: get$
$2 \alpha = 8$
$\alpha = 4$

$now \: putting \: this \: value \: in \: eqution \\ i \: we \: get$
$\beta = 3$
$putting \: this \: vaue \: in \: equation \: \\ ii \: we \: get$
$k = 12$
$hope \: this \: answer \: is \: helpful \: \\ plz \: mrk \: it \: as \: brainliest \: and \: donot \: \\ forget \: to \: follow \: me$