Question

How do i rewrite the equation?

Answer 1

Answer+Step-by-step explanation:

1)

`x^(2)+4x+1=x^(2)+4x + (4 - 4) + 1`

`=x^(2)+4x + 4 - 3`

`=(x+2)^2-3`

then

`x^(2)+4x+1=0`

`\Longleftrightarrow \left( x+2\right)^(2) -3=0`

`\Longleftrightarrow \left( x+2\right)^(2) =3`

2)

`\left( x+2\right)^(2) =3`

⇔ |x + 2| = √3

⇔ x + 2 = √3 or x + 2 = -√3

⇔ x + 2 = ±√3

⇔ x = -2 ± √3