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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.

Respuesta :

ash34321

Complex solutions are X=4,-3

Answer:

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

Step-by-step explanation:

Given : Equation [tex]-x-3 = x^2 -2x- 15[/tex]

To find : Solve the equation using graph?

Solution :

Let [tex]y=-x-3[/tex] be the equation (1)

[tex]y= x^2 -2x- 15[/tex] 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) [tex]y=-x-3[/tex] is shown in blue line.

Equation (2) [tex]y=-x-3[/tex] 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.

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