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

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

The quadratic equation given is:

Which has coefficients .

Now, we find the solutions:

The coordinates of the roots are and , 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 link

(- 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)

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

answer: -1

step-by-step explanation: