Question

Помогите!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

x² - 5x + 3 = 0
По теореме Виета :
x₁ * x₂ = 3
x₁ + x₂ = 5
3x₁ + 3x₂ - 4x₁x₂ = 3(x₁ + x₂) - 4x₁x₂ = 3 * 5 - 4 * 3 = 15 - 12 = 3

x² - ax - 16 = 0
x₁ * x₂ = - 16
$\frac{ x_{1} }{ x_{2} }=-4\\\\ x_{1} =-4x _{2}\\\\-4 x_{2}* x_{2} =-16\\\\-4 x_{2} ^{2}=-16\\\\ x_{2 } ^{2} =4\\\\ x_{2}'=2\\\\ x_{2}''=-2\\\\ x_{1}'=-4*2=-8\\\\ x_{1} ''=-4*(-2)=8$
или    a₁ = - (2 - 8) = 6           или    a₂ = - (- 2 + 8) = - 6