Question

Solve the equation by graphing x2+5x+4=0 . If exact roots cannot be found, state the consecutive integers between which the roots are located.

Answer 1

x = -4

x = -1

Explanation:

We have been given the following quadratic equation;

x^2 + 5x + 4 = 0

We are required to determine the roots of the above quadratic equation via graphing.

To do this we formulate the following equations;

y = x^2 + 5x + 4

y = 0 (x -axis)

We then proceed to graph these functions on the same graph. The roots of the original quadratic equation will be the points where the graphs of the above functions will intersect.

The attachment below is the graphical solution obtained from desmos graphing tool;

The graph of the functions intersect at;

x = -4 and x = -1

These are the roots of the given quadratic equation