[tex]a) \ 2x^2 = 8 \Rightarrow x^2 = 4 \Rightarrow x^2 = 2^2 \Rightarrow |x|=2 \Rightarrow S=\{-2;2\}[/tex]
[tex]b) \ 8x^2 = 2 \Rightarrow x^2 = \dfrac{1}{4} \Rightarrow x^2 = \dfrac{1}{2^2} \Rightarrow |x|=\dfrac{1}{2} \Rightarrow S=\bigg\{-\dfrac{1}{2};\dfrac{1}{2}\bigg\}[/tex]
[tex]c) \ 6x^2 = 3 \Rightarrow x^2 = \dfrac{3}{6} \Rightarrow x^2 = \dfrac{1}{2} \Rightarrow x^2 = \dfrac{2}{2^2} \Rightarrow |x|=\dfrac{\sqrt{2} }{2} \Rightarrow S=\bigg\{-\dfrac{\sqrt{2} }{2};\dfrac{\sqrt{2} }{2}\bigg\}[/tex]
[tex]d) \ 16x^2 = -1 < 0 \Rightarrow S=\O[/tex]
[tex]e) \ 2x^2 = 1 - (-1) \Rightarrow 2x^2 = 2 \Rightarrow x^2 = 1 \Rightarrow |x|=1 \Rightarrow S=\{-1;1\}[/tex]
[tex]f) \ x^2 = -\dfrac{20}{3} \cdot \bigg(-\dfrac{3}{5}\bigg) \Rightarrow x^2 = 4 \Rightarrow x^2 = 2^2 \Rightarrow |x|=2 \Rightarrow S=\{-2;2\}[/tex]
[tex]g) \ 2(x+2)^2 = 12 \Rightarrow (x+2)^2 = 6 \Rightarrow |x+2|=\sqrt{6} \Rightarrow x = -2 \pm \sqrt{6} \Rightarrow S=\{-2-\sqrt{6};-2+\sqrt{6}\}[/tex]
[tex]h) \ 3(x-1)^2 = 12 \Rightarrow (x-1)^2 = 4 \Rightarrow |x-1|=2 \Rightarrow x=1\pm2\Rightarrow S=\{-1;3\}[/tex]
