Penjelasan dengan langkah-langkah:

x² + 6x - 16 = 0

dengan cara difaktorkan :

(x + 8)(x - 2) = 0

x + 8 = 0

x = -8

atau

x - 2 = 0

x = 2

HP = {-8, 2}

dengan cara melengkapi kuadrat

x² + 6x - 16 = 0

x² + 6x = 16

(x + 3)² - 3² = 16

(x + 3)² - 9 = 16

(x + 3)² = 16 + 9

(x + 3)² = 25

(x + 3) = √25

x + 3 = ± 5

x = ±5 - 3

x₁ = -5 - 3

x₁ = -8

x₂ = 5 - 3

x₂ = 2

HP = { -8, 2 }

dengan menggunakan rumus abc

x² + 6x - 16 = 0

a = 1 ; b = 6 ; c = -16

x₁,₂ = [ -b ± √{ b² - 4ac } ]/2a

x₁,₂ = [ -6 ± √{ 6² - 4(1)(-16) } ]/2(1)

x₁,₂ = [ -6 ± √{ 36 - 64 } ]/2

x₁,₂ = [ -6 ± √100 ]/2

x₁,₂ = [ -6 ± 10 ]/2

x₁,₂ = -3 ± 5

x₁ = -3 - 5

x₁ = -8

x₂ = -3 + 5

x₂ = 2

HP = { -8, 2 }

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