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D=-(4+2k)-4(1)(8)
0=-4-2k-32
36=-2k
k=-18
x₁ + x₂ = -b/a ----> x₁ + x₂ = 4 + 2k
x₁.x₂ = c/a ----> x₁.x₂ = 8k
jumlah kuadrat akar-akar persamaan = 52
x₁² + x₂² = 52
(x₁ + x₂)² - 2x₁.x₂ = 52
(4 + 2k)² - 2.8k = 52
16 + 16k + 4k² - 16k = 52
4k² + 16 - 52 = 0
4k² - 36 = 0
k² = 36/4
k² = 9
k = 3 atau k = -3
jadi nilai mutlak dari k = 3