Question Number 5450 by 3 last updated on 15/May/16
$${eqution} \\ $$
Answered by FilupSmith last updated on 15/May/16
$${ax}^{\mathrm{2}} +{bx}+{c}=\mathrm{0} \\ $$$$\mathrm{is}\:\mathrm{an}\:\mathrm{equation}\:\mathrm{with}\:\mathrm{solution}: \\ $$$${x}=\frac{−{b}\pm\sqrt{{b}^{\mathrm{2}} −\mathrm{4}{ac}}}{\mathrm{2}{a}} \\ $$$$\mathrm{for}\:\Delta={b}^{\mathrm{2}} −\mathrm{4}{ac},\:\mathrm{if}\:\Delta<\mathrm{0}, \\ $$$$\mathrm{there}\:\mathrm{exists}\:\mathrm{at}\:\mathrm{least}\:\mathrm{one}\:\mathrm{complex}\:\mathrm{solution}. \\ $$