Determine how many solutions the system has.
y = x + 2
y = x^2 + 2x + 1

two real solutions.

Step-by-step explanation:

When  you graph the system of equations (which  has a linear equation and a quadratic equation), you obtain the graph shown attached, which shows a line and a parabola.

As you can see the line and the parabola intersect each other at two points.

By definition, when  they intersect then you can conclude that the system of equations have two real solutions.

{3 + i, 3 - i, 3, -1}

step-by-step explanation: