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

Jul 27, 2016

$\textcolor{g r e e n}{x = - 1}$
See below for solution methods

#### Explanation:

Algebraically
${x}^{2} + 2 x + 1 = 0$

$\rightarrow {\left(x + 1\right)}^{2} = 0$

$\rightarrow x = - 1$

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