Solve 2x2 + 8x - 12 = 0 by completing the square. What are the solutions?
0 (-2+ T6.-2-16
0 [-2 + /10,-2- 510)
o 12- 10.2 - 110

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michelle7511

13.02.2022

Mathematics

$\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \stackrel{\textit{\underline{n} scarves is inversely proportional to the area \underline{a} of each scarf}}{n=\cfrac{k}{a}} \\\\\\ \textit{we also know that } \begin{cases} a=3\\ n=16 \end{cases}\implies 16=\cfrac{k}{3}\implies 48=k~\hfill \boxed{n=\cfrac{48}{a}} \\\\\\ \textit{when a = 4, what is \underline{n}?}\qquad n=\cfrac{48}{4}\implies n=12$

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Solve 2x2 + 8x - 12 = 0 by completing the square. What are the solutions? 0 (-2+ T6.-2-16 0 [-2 + /10,-2- 510) o 12- 10.2 - 110