[tex]\frac{x^2-2}{2} + \frac{6x}{3} = 1 /*6\\3(x^2-2)+2*6x=6\\3x^2-6+12x=6\\3x^2+12x-6-6=0\\3x^2+12x-12=0/:3\\x^2+4x-4=0\\D=b^2-4ac\\D=4^2-4*1*(-4)=16+16=32\\x1=\frac{-4+\sqrt{32} }{2} = \frac{-4+4\sqrt{2} }{2} = -2+2\sqrt{2} \\x2=\frac{-4-\sqrt{32} }{2} = \frac{-4-4\sqrt{2} }{2} = -2-2\sqrt{2}[/tex]
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[tex]\frac{x^2-2}{2} + \frac{6x}{3} = 1 /*6\\3(x^2-2)+2*6x=6\\3x^2-6+12x=6\\3x^2+12x-6-6=0\\3x^2+12x-12=0/:3\\x^2+4x-4=0\\D=b^2-4ac\\D=4^2-4*1*(-4)=16+16=32\\x1=\frac{-4+\sqrt{32} }{2} = \frac{-4+4\sqrt{2} }{2} = -2+2\sqrt{2} \\x2=\frac{-4-\sqrt{32} }{2} = \frac{-4-4\sqrt{2} }{2} = -2-2\sqrt{2}[/tex]