Respuesta :
x² - 10x + 8 = 0
x² -10x + 5² -5² + 8 = 0
(x - 5)² - 25 + 8 = 0
(x - 5)² - 17 = 0
(x - 5)² = 17 ← Equation: LHS = (x - 5)²
x - 5 = ±√17
x= √17 + 5 or x = -√17 + 5
x = 9.12 or 0.88
Answer: x = 9.12 or 0.88
x² -10x + 5² -5² + 8 = 0
(x - 5)² - 25 + 8 = 0
(x - 5)² - 17 = 0
(x - 5)² = 17 ← Equation: LHS = (x - 5)²
x - 5 = ±√17
x= √17 + 5 or x = -√17 + 5
x = 9.12 or 0.88
Answer: x = 9.12 or 0.88