Answers

  • Brainly User
2016-07-12T12:12:49+08:00
Solve by completing the square:

x² - 14x + (14/2)² = -1 + (14/2)²

x² - 14x + (7)² = -1 + (7)²

x² - 14x + 49 = -1 + 49

(x - 7)² = 48

√(x-7)² = √48

x - 7 = √(16)(3)
 
x = 7 + 4√3       and    x = 7 - 4√3

Check:

x² - 14x + 1 = 0

(7 + 4√3)² - 14(7 + 4√3) + 1 = 0

49+ 56√3 + 48 - 98 - 56√3 + 1 = 0

49 + 48 + 1 - 98 + 56√3 - 56√3 = 0

49 + 49 - 98 = 0

98 - 98 = 0

0 = 0   (True)



0