Question

Find the real solutions of the equation by graphing. x^3-4x^2-20x=-48The real solutions of the equation are _____.

Answer 1

Given the following equation:

$x^3-4x^2-20x=-48$

We will find the real solutions to the equation by graphing.

We will rewrite the given equation as follows:

$x^3-4x^2-20x+48=0$

The graph of the function will be as shown in the following figure:

As shown the function has 3 real solutions which are the x-intercepts

So, the answer will be:

$x=-4,2,6$