Question

To solve the equation −x − 3 = x2 − 2x− 15, you could graph of the following system. y = −x − 3 y = x2 − 2x − 15 Use the graph of this system to identify all solutions of −x − 3 = x2 − 2x − 15.

Answer 1

Complex solutions are X=4,-3

Answer 2

Answer:

The solution of the equation graphically are (-3,0) and (4,-7).                        

Step-by-step explanation:

Given : Equation $-x-3 = x^2 -2x- 15$

To find : Solve the equation using graph?

Solution :

Let $y=-x-3$ be the equation (1)

$y= x^2 -2x- 15$ be the equation (2)

If we plot the equation (1) and (2) in the graph then the intersection point gives you the solution of the equation.

Equation (1) $y=-x-3$ is shown in blue line.

Equation (2) $y=-x-3$ is shown in red line.

The intersection points of both the equation are (-3,0) and (4,-7).

Therefore, The solution of the equation graphically are (-3,0) and (4,-7).

Refer the attached figure below.