X²+2x-4=0 dengan memfaktorkan​

Jawaban:

Diketahui:

x² + 2x – 4 = 0

Ditanyakan:

(x1 – x2)²

Jawab:

x² + 2x – 4 = 0

x12 = (-b ± √D)/2a

x12 = (-2 ± 2√5)/2

x12 = (-1 ± √5)

Kemungkinan 1:

(x1 – x2)²

= ((-1 + √5) – (-1 – √5))²

= (-1 + √5 + 1 + √5)²

= (2√5)²

= 20

Kemungkinan 2:

(x1 – x2)²

= ((-1 – √5) – (-1 + √5))²

= (-1 – √5 + 1 – √5)²

= (-2√5)²

= 20