Question

Tentukan himpunan penyelesaian di bawah ini dgn cara melengkapkan kuadrat sempurna:
x²- 2x - 4 = 0

Answer 1

X^2 - 2x - 4 = 0
x^2 - 2x = 4
x^2 - 2x + (1/2 × (-2))^2 = 4 + (1/2 × (-2))^2
x^2 - 2x + 1 = 4 + 1
(x - 1)^2 = 5
x - 1 = ±√5
x = ±√5 + 1

x1 = √5 + 1
x2 = -√5 + 1

HP = {√5 + 1, -√5 + 1}