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x1 + x2 = -b/a = p
x1x2 = c/a = p+1
x1² + x2² = (x1+x2)² - 2x1x2
6 = p² - 2(p+1)
p² - 2p - 8 = 0
(p - 4)(p + 2) = 0
Jadi, nilai p = 4 atau p = -2
X₁ + X₂ =
X₁.X₂ =
X₁² +X₂² = (X₁+X₂)² - 2X₁X₂ = 6
= p² - 2(p+1) = 6
= p² - 2p-2-6
= p² -2p-8
artinya p=-2 ∨ p=4