Verified answer

x² + px + q = 0

1)  x₁ = 5     x² = 4

- p = x₁ + x₂

- p = 5 + 4

- p = 9

p = - 9

q = x₁ * x₂

q = 5 * 4

q = 20

x² - 9x + 20 = 0

2)  x₁ = 12     x² = -8

- p = x₁ + x₂

- p = 12 - 8

- p = 4

p = - 4

q = x₁ * x₂

q = 12 * (-8)

q = - 96

x² - 4x - 96 = 0