agantisbz

2022-07-27

Complete the square.
$5{x}^{2}+2x-10$

Hassan Watkins

Expert

$5{x}^{2}+2x-10$
Taking out 5 as common : $5\left({x}^{2}+\left(\frac{2}{5}\right)x-2\right)\phantom{\rule{0ex}{0ex}}5\left({x}^{2}+\left(\frac{2}{5}\right)x+4/25-4/25-2\right)\phantom{\rule{0ex}{0ex}}5\left[\left(x+\frac{2}{5}{\right)}^{2}-\frac{4+50}{25}\right)\phantom{\rule{0ex}{0ex}}5\left[\left(x+\frac{2}{5}{\right)}^{2}-\frac{54}{25}\right]\phantom{\rule{0ex}{0ex}}5\left(x+\frac{2}{5}{\right)}^{2}-\frac{54}{5}$

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