Question

X^2-6x+1=0 solve by completing square

Answer 1

x = 3 ± 2
`√(2)`

Explanation:

x² - 6x + 1 = 0 ( subtract 1 from both sides )

x² - 6x = - 1

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = - 1 + 9

(x - 3)² = 8 ( take square root of both sides )

x - 3 = ±
`√(8)` = ± 2
`√(2)` ( add 3 to both sides )

x = 3 ± 2
`√(2)`

Answer 2

the answer is x= +- 2 square root of 2 + 3