Graph the system of equations to find the solutions of x3 + 6x2 - 40x = 192. y = x3 + 6x2 - 40x y = 192

The solutions are: x=6. x=-4 and x=-8.

Step-by-step explanation:

The solution to the system of the equation is going to be given by the points where the graphs of:

y = x3 + 6x2 - 40x AND y = 192 intercept.

By looking at the graph, we can deduce they intercept at three points:

(-8, 192), (-4, 192) and (6, 192).

Another way to verify this, is by solving the following system of equations:

x3 + 6x2 - 40x - 192 = 0

Factorizing, we get:

(x-6)(x+4)(x+8) = 0

Where we can clearly see that the solutions are: x=6. x=-4 and x=-8.

step-by-step explanation: