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(3p + 2)² = 7(3p + 2)
9p² + 12p + 4 = 21p + 14
9p² + 12p - 21p + 4 - 14 = 0
9p² - 9p - 10 = 0
Δ = b² - 4ac = (-9)² - 4·9·(-10) = 81 + 360 = 441
√Δ = 21
p₁ = (-b-√Δ)/2a = (9-21)/18 = -12/18 = -2/3
p₂ = (-b+√Δ)/2a = (9+21)/18 = 30/18 = 1²/₃
B.
(k - 3)² + (k - 2)² - (k -1)² = 0
k² - 6k + 9 + k² - 4k + 4 - (k² - 2k + 1) = 0
2k² - 10k + 13 - k² + 2k - 1 = 0
k² - 8k + 12 = 0
Δ = 64 - 48 = 16
√Δ = 4
k₁ = (8-4)/2 = 2
k₂ = (8+4)/2 = 6