Answer:
x = 4 ± [tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given
x² - 8x + 13 = 0 ( subtract 13 from both sides )
x² - 8x = - 13
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = - 13 + 16
(x - 4)² = 3 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{3}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{3}[/tex]
Answer:
x = 4 + √3 or x = 4 - √3
Step-by-step explanation:
Use quadratic formula with a=1, b=-8, c=13.
x=−b ± √b2 − 4ac / 2a
x= −(−8) ± √(−8)2 − 4(1)(13) / 2(1)
x= 8 ± √12 / 2
x= 4 + √3 or x= 4 − √3
