Question Number 158288 by cortano last updated on 02/Nov/21
Answered by mr W last updated on 02/Nov/21
$${y}_{\mathrm{1}} −{y}_{\mathrm{2}} ={ax}^{\mathrm{2}} −{ax}−\mathrm{2}{a}={a}\left({x}^{\mathrm{2}} −{x}−\mathrm{2}\right) \\ $$$$\Delta={a}^{\mathrm{2}} +\mathrm{8}{a}^{\mathrm{2}} =\mathrm{9}{a}^{\mathrm{2}} \\ $$$${S}=\frac{\mathrm{9}{a}^{\mathrm{2}} \sqrt{\mathrm{9}{a}^{\mathrm{2}} }}{\mathrm{6}{a}^{\mathrm{2}} }=\mathrm{4}.\mathrm{5}{a} \\ $$$$\Rightarrow{no}\:{S}_{{min}} \:{exists}! \\ $$
Commented by cortano last updated on 03/Nov/21
$${sorry}\:{sir}.\:{it}'{s}\:{a}! \\ $$