Question

Use the graphical method to solve the equation in the indicated exercise form the Section 1.5. (Lesson 1.11)

$x^6-2x^3-3=0$

Short answer

The solution is$x=-1$ and $x\approx 1.44$.

Step-by-step solution

Step 1. Definition of the x-intercept.

x-intercept is the point where the value of y is 0.

Step 2. Draw the graph of the equation.

$x^6-2x^3-3=0$

Now, equate the left side of the equation to$y$Then sketch the graph of the equation on a graphing facility

Draw the graph:

Step 3. Solve the equation graphically.

The solutions to the given equations are the x-intercepts or the zeros of the graph.

So, identify the values of x-intercepts by using the trace function of the graphing utility.

Hence, the solution is $x=-1,1.44$.