Question

х²=3,пожалуйста помогите

Answer 1

Ответ:

${x}^{2} = 3$

${x}^{2} - 3 = 3 - 3$

${x}^{2} - 3 = 0$

$1 {x}^{2} - 3 = 0$

$1 {x}^{2} + 0x - 3 = 0$

$1 {x}^{2} + 0x + ( - 3) = 0$

$a = 1.b = 0.c = - 3$

$x = \frac{ - 0± \sqrt{ {0}^{2} - 4 \times 1 \times ( - 3) } }{2 \times 1}$

$x = \frac{± \sqrt{0 + 12} }{2}$

$x = \frac{± \sqrt{12} }{2}$

$x = \frac{± \sqrt{4 \times 3} }{2}$

$x = \frac{± \sqrt{ {2}^{2} \times 3} }{2}$

$x = \frac{± \sqrt{ {2}^{2} } \sqrt{3} }{2}$

$x = \frac{±2 \sqrt{3} }{2}$

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

Сокращаем обе дроби на 2 и -2:

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

$x_{1} = - \sqrt{3} . x_{2} = \sqrt{3}$