Question

What are the coordinates of the root of the equation x^2+4x+3=0

Answer 1

Answer:

(- 3, 0) and (- 1, 0)

Step-by-step explanation:

Given

x² + 4x + 3 = 0 ← in standard form

(x + 1)x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 3 = 0 ⇒ x = - 3

coordinates of the roots are (- 3, 0) and (- 1, 0)

Answer 2

Solving the quadratic equation, the coordinates of the roots are: (-1,0) and (-3,0)

The quadratic equation given is:

$x^2 + 4x + 3$

Which has coefficients $a = 1, b = 4, c = 3$.

Now, we find the solutions:

$\Delta = 4^2 - 4(1)(3) = 4$

$x_{1} = \frac{-4 + \sqrt{4}}{2} = -1$

$x_{2} = \frac{-4 - \sqrt{4}}{2} = -3$  

The coordinates of the roots are $(x_1, 0)$ and $(x_2, 0)$, as a root is a value of x when y = 0, thus, in the problem, (-1,0) and (-3,0).

A similar problem is given at https://brainly.com/question/13729358