Question

Solve the equation x² + 6x + 1 = 0

Answer 1

Answer:

x=−3+2√2 or x=−3−2√2

Step-by-step explanation:

Answer 2

Answer:

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