Answer:
x ≈ 3.39, x ≈ 10.61
Step-by-step explanation:
Given
x² - 14x + 36 = 0 ( subtract 36 from both sides )
x² - 14x = - 36
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 7)x + 49 = - 36 + 49
(x - 7)² = 13 ( take the square root of both sides )
x - 7 = ± [tex]\sqrt{13}[/tex] ( add 7 to both sides )
x = 7 ± [tex]\sqrt{13}[/tex]
Hence
x = 7 - [tex]\sqrt{13}[/tex] ≈ 3.39
x = 7 + [tex]\sqrt{13}[/tex] ≈ 10.61
