| $$(a)\ x^2+|x|-6=0$$ | $$(b)\ x^2+|x|-12=0$$ |
| $$(c)\ x^2-2|x|-3=0$$ | $$(d)\ x^2-3|x|-4=0$$ |
| $$(e)\ x^2+|x+3|-9=0$$ | $$(f)\ x^2+|x-4|-16=0$$ |
| $$(g)\ x^2-5|x|+6=0$$ | $$(h)\ x^2-6|x|+8=0$$ |
| $$(i)\ x^2 + |x + 1|-1=0$$ | $$(j)\ x\cdot|x+4|-3x-6=0$$ |
| $$(k)\ x^2-3|x+1|-x=0$$ | $$(l)\ x\cdot | x - 3 | = 2 - x$$ |
| $$a)\ x\in\left\{\pm2\right\}$$ | $$b)\ x\in\left\{\pm3\right\}$$ |
| $$c)\ x\in\left\{\pm3\right\}$$ | $$d)\ x\in\left\{\pm4\right\}$$ |
| $$e)\ x\in\left\{-3;2\right\}$$ | $$f)\ x\in\left\{-3;4\right\}$$ |
| $$g)\ x\in\left\{\pm3;\pm2\right\}$$ | $$h)\ x\in\left\{\pm4;\pm2\right\}$$ |
| $$i)\ x\in\left\{-1;0\right\}$$ | $$j)\ x\in\left\{-6;-3;2\right\}$$ |
| $$k)\ x\in\left\{2\pm\sqrt7\right\}$$ | $$l)\ x\in\left\{2-\sqrt2\right\}$$ |
| $$(a)\ 5|x|=7-2x^2$$ | $$(b)\ |x^2-3x+3|=2$$ |
| $$(c)\ |2x-x^2+3|=2$$ | $$(d)\ x^2+3|x|+2=0$$ |
| $$(e)\ (x+1)^2-2|x+1|+1=0$$ | $$(f)\ x^2+2x-3|x+1|+3=0$$ |
| $$(g)\ x\cdot|x|+2\sqrt2x+2=0$$ | $$(h)\ |x^2-9|+|x-2|=5$$ |
| $$(i)\ |x-x^2-1|=|2x-3-x^2|$$ | $$(j)\ |x|+x^3=0$$ |
| $$(k)\ (x+1)(|x|-1)=-\frac12$$ | $$(l)\ x^2+1=|x^2-3x+1|$$ |
| $$a)\ x\in\left\{\pm1\right\}$$ | $$b)\ x\in\left\{\frac{3\pm\sqrt5}2\right\}$$ |
| $$c)\ x\in\left\{1\pm\sqrt2;1\pm\sqrt6\right\}$$ | $$d)\ x\in\O$$ |
| $$e)\ x\in\left\{-2;0\right\}$$ | $$f)\ x\in\left\{-3;-2;0;1\right\}$$ |
| $$g)\ x\in\left\{\sqrt2-2\right\}$$ | $$h)\ x\in\left\{-3;2;\frac{\sqrt{65}-1}2\right\}$$ |
| $$i)\ x\in\left\{2\right\}$$ | $$j)\ x\in\left\{-1;0\right\}$$ |
| $$k)\ x\in\left\{\frac{\sqrt2}2;\frac{-2\pm\sqrt2}2\right\}$$ | $$l)\ x\in\left\{0\right\}$$ |
| $$(a)\ \frac{1}{|x|-2}+\frac{1}{|x|+2}=\frac{x}{48}$$ | $$(b)\ \frac{1}{|2x-3|}+8=\frac{2}{|3-2x|}$$ |
| $$(c)\ \frac{4x-8}{|x-2|}=x$$ | $$(d)\ \frac{|x^2-4x|+3}{x^2+|5-x|}=1$$ |
| $$a)\ x\in\left\{0;10\right\}$$ | $$b)\ x\in\left\{\frac{23}{16};\frac{25}{16}\right\}$$ |
| $$c)\ x\in\left\{\pm4\right\}$$ | $$d)\ x\in\left\{-\frac23;\frac12;2\right\}$$ |
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