Respuesta :

mhanifa

Answer:

  • x = 13
  • x = - 1

Step-by-step explanation:

Given equation:

  • x² − 12x + 30 = 43

Complete the square:

  • x² - 2*6*x + 6² - 6 = 43
  • (x - 6)² = 49
  • (x - 6)² = 7²
  1. x - 6 = 7 ⇒ x = 13
  2. x - 6 = - 7 ⇒ x = - 1
  • x²-12x+30=43
  • x²-12x=13

Multiply by 4

  • 4x²-48x=52
  • (2x)²-2(2x)(12)=52
  • (2x)²-2(2x)(12)+(12)²=52+144
  • (2x-12)²=196
  • (2x-12)=±14
  • 2x=12±14
  • x=6±7
  • x=13,-1