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[tex][x - 1] = \sqrt{3} \times [2x - 3][/tex]


Răspuns :

[tex]x-1=\sqrt{3} (2x-3)\\x-1=2\sqrt{3x} -3\sqrt{3} \\x-1-2\sqrt{3x} =-3\sqrt{3} \\x-2\sqrt{3x} =-3\sqrt{3} +1\\(1-2\sqrt{3} )x=1-3\sqrt{3}\\\frac{(1-2\sqrt{3} )x}{1-2\sqrt{3} } =\frac{1-3\sqrt{3} }{1-2\sqrt{3} } \\x=\frac{1-3\sqrt{3} }{1-2\sqrt{3} } =\frac{\sqrt{3}+17 }{11}[/tex]

[tex]x - 1 = \sqrt{3} - \times (2x - 3)[/tex]

[tex]x - 1 = 2 \sqrt{3} x - 3 \sqrt{3} [/tex]

[tex]x - 2 \sqrt{3} x = - 3 \sqrt{3} + 1[/tex]

[tex](1 - 2 \sqrt{3} )x = - 3 \sqrt{3} + 1[/tex]

[tex]x = \frac{ - 3 \sqrt{3} + 1}{1 - 2 \sqrt{3} } [/tex]

[tex]x = \frac{ - 3 \sqrt{3} - 18 + 1 + 2 \sqrt{3} }{ - 11} [/tex]

[tex]x = \frac{ - \sqrt{3} - 17}{ - 11} [/tex]

[tex]x = - \frac{ - \sqrt{3} - 17 }{11} [/tex]

[tex]x = \frac{ \sqrt{3} + 17 }{11} [/tex]