Kuadrat sempurna x2-5x-24=0​

Penjelasan dengan langkah-langkah:

x² – 5x – 24 = 0

x² – 5x = 24

(x – 5/2)² = 24 + (5/2)²

(x – 5/2)² = 24 + 25/4

(x – 5/2)² = 96/4 + 25/4

(x – 5/2)² = 121/4

(x – 5/2) = ± √(121/4)

(x – 5/2) = ± 11/2

x = 5/2 ± 11/2

x₁ = 5/2 + 11/2 = 16/2 = 8

x₂ = 5/2 – 11/2 = -6/2 = -3

HP = { -3 , 8 }