Rozwiąż równanie [latex] frac{x sqrt{4-2 sqrt{3} } }{ sqrt{3} }= x- 2 sqrt{3} [/latex]

[latex]frac{xsqrt{4-2sqrt{3}}}{sqrt{3}}=x-2sqrt{3} |cdotsqrt{3}[/latex] [latex]xsqrt{4-2sqrt{3}}=xsqrt{3}-2sqrt{3}sqrt{3}[/latex] [latex]xsqrt{4-2sqrt{3}}=xsqrt{3}-2cdot 3[/latex] [latex]xsqrt{4-2sqrt{3}}=xsqrt{3}-6[/latex] [latex]xsqrt{4-2sqrt{3}}-xsqrt{3}=-6[/latex] [latex]xcdot(sqrt{4-2sqrt{3}}-sqrt{3})=-6 |:(sqrt{4-2sqrt{3}}-sqrt{3})[/latex] [latex]x=-frac{6}{sqrt{4-2sqrt{3}}-sqrt{3}}[/latex] [latex]x=-frac{6}{sqrt{3-2sqrt{3}+1}-sqrt{3}}[/latex] [latex]x=-frac{6}{sqrt{(sqrt{3}-1)^2}-sqrt{3}}[/latex] [latex]x=-frac{6}{sqrt{3} - 1 - sqrt{3}}=-frac{6}{-1}=6[/latex]