Uraikanlah atas faktor-faktor: x² - 14x - 2x√3 + 45 + 18√3
Jawab:
x² – 14x – 2x√3 + 45 + 18√3
= (x – ¹⁴/₂)² + 45 – (¹⁴/₂)² – 2√3(x – 9)
= (x – 7)² + 45 – 49 – 2√3(x – 9)
= [(x – 7)² – 2²] – 2√3(x – 9)
= (x – 7 + 2)(x – 7 – 2) – 2√3(x – 9)
= (x – 5)(x – 9) – 2√3(x – 9)
= (x – 9)(x – 5 – 2√3)