х = 2 - корень уравнения х² + 2х + q = 0
2² + 2 · 2 + q = 0
4 + 4 + q = 0
8 + q = 0
q = -8
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х² + 2х - 8 = 0
D = b² - 4ac = 2² - 4 · 1 · (-8) = 4 + 32 = 36
√D = √36 = 6
х₁ = (-2+6)/(2·1) = 4/2 = 2
х₂ = (-2-6)/(2·1) = (-8)/2 = -4
Вiдповiдь: q = -8; x₂ = -4.
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х = 2 - корень уравнения х² + 2х + q = 0
2² + 2 · 2 + q = 0
4 + 4 + q = 0
8 + q = 0
q = -8
- - - - - - - - - -
х² + 2х - 8 = 0
D = b² - 4ac = 2² - 4 · 1 · (-8) = 4 + 32 = 36
√D = √36 = 6
х₁ = (-2+6)/(2·1) = 4/2 = 2
х₂ = (-2-6)/(2·1) = (-8)/2 = -4
Вiдповiдь: q = -8; x₂ = -4.