Question

3÷x-4÷1-x=5-x÷x2-1 решите уравнение

Answer 1

Ответ:

$x = - 3 \pm 2 \sqrt{3}$

Объяснение:

3 ÷ x - 4 ÷ 1 - x = 5 - x ÷ x2 - 1

3/x - 4 - x = 5 - 1 × 2 - 1

3/x - 4 - x = 2

3/x - 6 - x = 0

$\frac{3 - 6x - {x}^{2} }{x} = 0$

3 - 6x - x² = 0

x² + 6x - 3 = 0

$x = \frac{ - 6 \pm \sqrt{ {6}^{2} - 4 \times 1 \times ( - 3)} }{2 \times 1}$

$x = \frac{ - 6 \pm \sqrt{36 + 12} }{2}$

$x = \frac{ - 6 \pm \sqrt{48} }{2}$

$x = \frac{ - 6 \pm 4 \sqrt{3} }{2}$

$x = - 3 \pm 2 \sqrt{3}$