Respuesta :
Answer:
Step-by-step explanation:
x^2 -8x +3 = 0
(x^2 - 8x + 16) = -3 + 16
(x-4)^2 = 13
x - 4 = (+/-)sqrt(13)
x = 4 +/- sqrt(13)
Answer:
x = 4 ± [tex]\sqrt{13}[/tex]
Step-by-step explanation:
Given
x² - 8x + 3 = 0 ( subtract 3 from both sides )
x² - 8x = - 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = - 3 + 16
(x - 4)² = 13 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{13}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{13}[/tex]
