Question

tentukan himpunan persamaan menggunakan cara melengkapkan kuadrat sempurna soal = x² - 3x - 4 =0​

Answer 1

Penjelasan dengan langkah-langkah:

x² - 3x - 4 = 0

x² - 3x = 4

x² - 3x + [(1/2) . (-3)²] = 4 + [(1/2) . (-3)²]

x² - 3x + (-3/2)² = 4 + (-3/2)²

[x - (3/2)]² = 4 + (9/4)

[x - (3/2)]² = (16/4) + (9/4)

[x - (3/2)]² = 25/4

[x - (3/2)] = ±√(25/4)

x - (3/2 = ± 5/2

Maka:

x1 = (3/2 + (5/2) = 8/2 = 4

x2 = (3/2 - (5/2) = -2/2= -1