Question

Помогите, пожалуйста

Answer 1

$q= \frac{ x^{2} }{1} = x^{2} \\q= \frac{6- x^{2} }{ x^{2} }$
$x^{2} = \frac{6- x^{2} }{ x^{2} }\\\\ x^{2} - \frac{6- x^{2} }{ x^{2} }=0\\\\ \frac{ x^{4}-6+ x^{2} }{ x^{2} } =0\\\\ x^{4} + x^{2} -6=0,x \neq 0$
Сделаем замену x² = m > 0
m² + m - 6 = 0
D = 1² - 4 * 1 * (- 6) = 1 + 24 = 25 = 5²
$m_{1}= \frac{-1+5}{2} =2\\\\ m_{2}= \frac{-1-5}{2}=-3$
m₂ = - 3 - не подходит
$x^{2} =2\\\\ x_{1} = \sqrt{2}\\\\ x_{2}=- \sqrt{2}$