Respuesta :

Answer:

[x - (4 + 2√3)] and [x - (4 - 2√3)]

Step-by-step explanation:

Given :

  • 3x² - 24x + 12

Divide throughout by 3 to simplify :

  • 1/3 x (3x² - 24x + 12)
  • x² - 8x + 4

Using the Quadratic Formula :

  • x = -b ± √b² - 4ac / 2a
  • x = -(-8) ± √(-8)² - 4(1)(4) / 2(1)
  • x = 8 ± √64 - 16 / 2
  • x = 8 ± √48 / 2
  • x = 8 ± 4√3 / 2
  • x = 4 ± 2√3

Factors are :

  • [x - (4 + 2√3)] and [x - (4 - 2√3)]
kreyzi

ANSWER:

[tex]\large\blue{ ──────────────────────}[/tex]

Simplifying:

  • 3x2 + 24x + -12 = 0

Reorder the terms:

  • -12 + 24x + 3x2 = 0

Solving:

  • -12 + 24x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.

  • 3(-4 + 8x + x2) = 0

[tex]\large\blue{ ──────────────────────}[/tex]

keep learning <3

Otras preguntas