Mariah started to find the solutions of
x2 + 4x + 1 = 0. Her work is shown below.

x2 + 4x + 1 = 0

x2 + 4x = –1

x2 + 4x + 4 = –1 + 4

(x + 2)2 = 3

Which describes the solutions of the equation?

Since –2 and 3 are both rational, the sum and difference are rational.
Since –2 and StartRoot 3 EndRoot are both rational, the sum and difference are rational.
Since –2 is rational and StartRoot 3 EndRoot is irrational, the sum and difference are irrational.
Since StartRoot 2 EndRoot is rational and StartRoot 3 EndRoot is irrational, the sum and difference are irrational.