Question

Please explain fully..with all the steps and formulas

Answer 1

$x = \frac{1}{2 - \sqrt{3} } \\ x = \frac{1}{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } \\ x = \frac{2 + \sqrt{3} }{2 {}^{2} - (\sqrt{3 }) {}^{2} } \\ x = \frac{2 + \sqrt{3} }{4 - 3} = 2 + \sqrt{3} \\ \\ {x}^{3} - 2x ^{2} - 7x + 5 \\ (2 + \sqrt{3} ) {}^{3} - 2(2 + \sqrt{3} ) ^{2} - 7(2 + \sqrt{3} + 5$