Question Number 212354 by RojaTaniya last updated on 11/Oct/24
$$\:\:{ax}^{\mathrm{2}} +{bx}+{c}=\mathrm{0} \\ $$$$\:{a},{b},{c}\:{and}\:{two}\:{roots}\:{of}\:{the}\:{eqn}. \\ $$$$\:{are}\:\mathrm{5}\:{consecutive}\:{integers}\:{in}\: \\ $$$$\:{some}\:{order}.\:{Find}\:{their}\:{values}. \\ $$
Commented by Ghisom last updated on 12/Oct/24
$${ax}^{\mathrm{2}} +{bx}+{c}={a}\left({x}−{p}\right)\left({x}−{q}\right) \\ $$$${c}=−\mathrm{2} \\ $$$${p}=−\mathrm{1} \\ $$$${b}=\mathrm{0} \\ $$$${q}=\mathrm{1} \\ $$$${a}=\mathrm{2} \\ $$