Question Number 33255 by Rio Mike last updated on 13/Apr/18
$${if}\:{the}\:{roots}\:{of}\:{the}\:{equation}\: \\ $$$$\:\:\mathrm{3}{x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{2}=\mathrm{0}\:{are}\:\left(\alpha+\beta\right)\left(\alpha\beta\right) \\ $$$${then}\:{the}\:{value}\:{of}\:{p}\:{if}\:{x}^{\mathrm{2}} +\:{px}\:−\:\mathrm{6}=\mathrm{0} \\ $$$${is}? \\ $$
Commented by Rio Mike last updated on 14/Apr/18
$${same}\:{roots} \\ $$
Commented by Rasheed.Sindhi last updated on 16/Apr/18
$$\mathrm{What}\:\mathrm{do}\:\mathrm{you}\:\mathrm{mean}\:\mathrm{by} \\ $$$$``{if}\:{the}\:{roots}\:{of}\:{the}\:{equation}\: \\ $$$$\:\:\mathrm{3}{x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{2}=\mathrm{0}\:{are}\:\left(\alpha+\beta\right)\left(\alpha\beta\right)'' \\ $$$$\mathrm{The}\:\mathrm{question}\:\mathrm{is}\:\mathrm{just}\:\mathrm{not}\:\mathrm{clear}\:\mathrm{tome}. \\ $$$$\mathrm{I}\:\mathrm{expect}\:\mathrm{two}\:{roots}\:\mathrm{in}\:\mathrm{second}\:\mathrm{line}\:\mathrm{and} \\ $$$$\mathrm{you}\:\mathrm{just}\:\mathrm{write}\:'\:\left(\alpha+\beta\right)\left(\alpha\beta\right)\:' \\ $$