Question

Помогите решить пожалуйста
примеры снизу

Answer 1

$\displaystyle\bf\\8x^{4} -6x^{2} +1=0\\\\x^{2} =m \ \ , \ \ m\geq 0\\\\8m^{2}-6m+1=0\\\\D=(-6)^{2} -4\cdot 8\cdot 1=36-32=4=2^{2} \\\\\\m_{1} =\frac{6+2}{16} =\frac{1}{2} \\\\\\m_{2} =\frac{6-2}{16} =\frac{1}{4} \\\\\\1)\\\\x^{2} =\frac{1}{2} \\\\x_{1,2} =\pm \ \sqrt{\frac{1}{2} } =\pm \ \frac{1}{\sqrt{2} }=\pm \ \frac{\sqrt{2} }{2} \\\\2)\\\\x^{2} =\frac{1}{4} \\\\x_{3,4} =\pm \ \sqrt{\frac{1}{4} } =\pm \ \frac{1}{2}$

$\displaystyle\bf\\Otvet: \ -\frac{\sqrt{2} }{2} \ ; \ \frac{\sqrt{2} }{2} \ ; \ -\frac{1}{2} \ ; \ \frac{1}{2}$