Final answer:
The coordinates of the roots of the given quadratic equation x^2 + 4x + 3 = 0 are -1 and -3.
Step-by-step explanation:
The given equation is a quadratic equation in the form of ax² + bx + c = 0, where a = 1, b = 4, and c = 3. To find the coordinates of the roots, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Substituting the given values, we get:
x = (-4 ± √(4² - 4(1)(3))) / (2(1))
Simplifying further, we have:
x = (-4 ± √(16 - 12)) / 2
x = (-4 ± √4) / 2
x = (-4 ± 2) / 2
Therefore, the two roots of the equation are:
x₁ = (-4 + 2) / 2 = -1
x₂ = (-4 - 2) / 2 = -3