Answer:
x = 4 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
to find the solutions equate the quadratic to zero
x² - 8x + 11 = 0 ( subtract 11 from both sides )
x² - 8x = - 11
solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = - 11 + 16
(x - 4)² = 5 ( take square root of both sides )
x - 4 = ± [tex]\sqrt{5}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{5}[/tex]
