Question

Solving the quadratic equation using completing the square method. x^2+6x+1=0

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)` ( subtract 3 from both sides )

x = - 3 ± 2
`√(2)`

solutions are

x = - 3 - 2
`√(2)` , x = - 3 + 2
`√(2)`