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 are both rational, the sum and difference are rational. since –2 is rational and is irrational, the sum and difference are irrational. since is rational and is irrational, the sum and difference are irrational.

since –2 is rational and is irrational, the sum and difference are irrational.