Question

Решите пожалуйста.... ​

Answer 1

x² + 5x + 2 = 0

x₁ + x₂ = - 5            x₁ * x₂ = 2

x₁²x₂ + x₁x₂² = x₁x₂ * (x₁ + x₂) = 2 * (- 5) = - 10

$frac{x_{1} }{x_{2} }+frac{x_{2} }{x_{1} }+2=frac{x_{1}^{2}+x_{2}^{2}}{x_{1}x_{2}}+2=frac{(x_{1}+x_{2})^{2} -2x_{1}x_{2}}{x_{1}x_{2}} +2=frac{(-5)^{2}-2*2 }{2}+2=frac{25-4}{2}+2=10,5+2=12,5$