Solve the equation x² + 6x + 1 = 0

x=-3+2√2 or x=-3-2√2

Two solutions were found:

x = (6-√40) / 2=3-√ 10 = - 0.162

x = (6+√40) / 2=3+√ 10 = 6.162

Step-by-step explanation:

Trying to factor by splitting the middle term

1.1 Factoring x2-6x-1

The first term is, x2 its coefficient is 1.

The middle term is, - 6x its coefficient is - 6.

The last term, "the constant", is - 1

Step-1 : Multiply the coefficient of the first term by the constant 1 • - 1 = - 1

Step-2 : Find two factors of - 1 whose sum equals the coefficient of the middle term, which is - 6.

-1 + 1 = 0