Question

How do you solve `x^2 + 2x + 1 = 0` graphically and algebraically?

Answer 1

`color(green)(x=-1)`
See below for solution methods

Explanation:

Algebraically
`x^2+2x+1=0`

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

`rarr x=-1`

Graphically
graph{x^2+2x+1 [-3.342, 1.526, -0.358, 2.073]}
The graph of `x^2+2x+1` only touches the X-axis (i.e. is equal to `0`) at the point where `x=-1`