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т. Виета

3x² - 5px - 6q = 0 |:3

x² - 5/3px - 2q = 0

x₁ + x₂ = 5/3p

x₁ * x₂ = -2q

Составим систему.

⇒ q₁ = 0 ; q₂ = 1/3

p₁ = 3 * 0 = 0

p₂ = 3 * 1/3 = 1

Ответ:

p₁=0; q₁=0

p₂=1; q₂=1/3