[latex]1.\8x^{3}+8x^{2}-3x-3 = 0\\8x^{2}(x + 1) - 3(x + 1) = 0\\(x+1)(8x^{2}-3) = 0\\(x+1)(sqrt{8}x+sqrt{3})(sqrt{8}x-sqrt{3}) =0\\(x+1)(2sqrt{2}x + sqrt{3})(2sqrt{2}x - sqrt{3})=0\\x+1 = 0\x = -1\\lub\2sqrt{2}x + sqrt{3} = 0\2sqrt{2}x = -sqrt{3} /:2sqrt{2}\x = -frac{sqrt{3}}{2sqrt{2}}cdotfrac{sqrt{2}}{sqrt{2}} = -frac{sqrt{6}}{4}\\lub\2sqrt{2}x - sqrt{3} = 0\2sqrt{2}x = sqrt{3} /:2sqrt{2}\x = frac{sqrt{6}}{4}[/latex] [latex]x inlbrace-1;-frac{sqrt{6}}{4};frac{sqrt{6}}{4} brace[/latex] [latex]2.\5x^{2}-45 leq 0\\M. zerowe:\5x^{2}-45 = 0\\5(x^{2}-9) = 0 /:5\\x^{2}-9 = 0\\(x+3)(x-3) = 0\\x_1 = -3\x_2 = 3\\a extgreater 0, ramiona paraboli skierowane do gory\\x in extless -3;3 extgreater [/latex]
