Solve this equation: $x^(2)+2x+1 = 0$ using two methods of your choice.

Question

Solve this equation:
`$x^(2)+2x+1 = 0$` using two methods of your choice.

Answer 1

We can solve this equation using factoring and the quadratic formula.

Factoring, we have:

`x^(2)+2x+1`

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

Now we set
`(x+1)^(2)` equal to 0 using the Zero Product Property and get:

`x+1=0`

`x=-1`

So, x=-1 is our answer.