Respuesta :

Answer:

  • x = -0.5 , x = -5.5

Step-by-step explanation:

Solving

  • -4x² = 24x + 11
  • 4x² + 24x + 11 = 0
  • 4x² + 24x + 36 - 36 + 11 = 0
  • (2x + 6)² - 25 = 0
  • (2x + 6)² = 25
  • ⇒ 2x + 6 = ±5

Case 1 : x = +5

  • 2x + 6 = 5
  • 2x = -1
  • x = -1/2
  • x = -0.5

Case 2 : x = -5

  • 2x + 6 =  -5
  • 2x = -11
  • x = -11/2
  • x = -5.5
x= -1/2, -11/2 or in decimal form x=-0.5, -5.5

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