Find the smallest root of the equation and solve it: x² + 4x + 3 = 0

x² + 4x + 3 = 0
We find the discriminant of the quadratic equation by the formula:
D = b² – 4 * a * c = 16 – 4 * 1 * 3 = 16 – 12 = 4, D> 0. This equation by condition has two real roots, we find them:
x1 = (-4 + 2) / 2 = -1;
x2 = (-4 – 2) / 2 = -3.
Another solution is possible. The equation has the form of the reduced one (a = 1), the roots are found by Vietta’s theorem:
x1 + x2 = -b = -4
x1 * x2 = c = 3
x1 = -1, x2 = -3.
Answer: the roots of the equation are -1, -3.