Question

При каких k и p корнями уравнения kx^2 +px +3=0 будут числа 1 и -3

Answer 1

$left { {{k+p+3=0} atop {9k-3p+3=0}} right.$
$left { {{k=-3-p} atop {9k-3p+3=0}} right.$
$left { {{k=-3-p} atop {9(-3-p)-3p+3=0}} right.$
$left { {{k=-3-p} atop {-27-9p-3p+3=0}} right.$
$left { {{k=-3-p} atop {-12p=24}} right.$
$left { {{k=-3-p} atop {p=-2}} right.$
$left { {{k=-3-(-2)=-1} atop {p=-2}} right.$
$k=-1$
$p=-2$

$-x^2-2x+3=0$