1) 8x2 - 72 = 0
x2 - 9 = 0
x2 = 9
x = ± 3
2) https://gyazo.com/33805f53504404d1923cc25f58131c22 (drew it out for you)
3) \(25x^2 + 20x = 6\)
\(25x^2 + 20x - 6 = 0\)
\(x^2 + \frac{4}{5}x - \frac{6}{25} = 0\)
\(x^2 + \frac{4}{5}x + \frac{4}{25} - \frac{4}{25} - \frac{6}{25} = 0\)
\((x + \frac{2}{5})^2 - \frac{10}{25} = 0\)
\((x + \frac{2}{5})^2 = \frac{10}{25}\)
\(x + \frac{2}{5} = \frac{\sqrt{10}}{5}\)
\(x = -\frac{2 ± \sqrt{10}}{5}\)
4) \(4x^2 + 6x = 8\)
\(4x^2 + 6x - 8 = 0\)
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
\(x = {-(6) \pm \sqrt{(6)^2-4(4)(-8)} \over 2(4)}\)
\(x = {-6 \pm \sqrt{36+128} \over 8}\)
\(x = {-3 \pm \sqrt{164} \over 4}\)
\(x = {-3 \pm 2\sqrt{41} \over 4}\)
Please tell me if I did anything wrong! :)