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Question-190934




Question Number 190934 by Alejosandel06 last updated on 14/Apr/23
Answered by Tokugami last updated on 15/Apr/23
y=11.786x^2 −142.214x+493  11.786x^2 −142.214x+493=812  11.786x^2 −142.214x−319=0  x=((142.214+(√(142.214^2 −4(11.786)(319))))/(2(11.786)))  x≈14  14+1990=2004
$${y}=\mathrm{11}.\mathrm{786}{x}^{\mathrm{2}} −\mathrm{142}.\mathrm{214}{x}+\mathrm{493} \\ $$$$\mathrm{11}.\mathrm{786}{x}^{\mathrm{2}} −\mathrm{142}.\mathrm{214}{x}+\mathrm{493}=\mathrm{812} \\ $$$$\mathrm{11}.\mathrm{786}{x}^{\mathrm{2}} −\mathrm{142}.\mathrm{214}{x}−\mathrm{319}=\mathrm{0} \\ $$$${x}=\frac{\mathrm{142}.\mathrm{214}+\sqrt{\mathrm{142}.\mathrm{214}^{\mathrm{2}} −\mathrm{4}\left(\mathrm{11}.\mathrm{786}\right)\left(\mathrm{319}\right)}}{\mathrm{2}\left(\mathrm{11}.\mathrm{786}\right)} \\ $$$${x}\approx\mathrm{14} \\ $$$$\mathrm{14}+\mathrm{1990}=\mathrm{2004} \\ $$

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