Question

Use a graphing utility to approximate the real solution of the equation rounded to two decimal places .All solution lie between $-10$and $10$.

Equation is$x^4-5x^2-8=0$

Short answer

The roots of the equation are$x=\sqrt{8}\left(\sqrt{8}=2.62\right)$and$x=\sqrt{13},\left(\sqrt{13}=3.60\right)$$x=\sqrt{8}.\left(\sqrt{8}=2.82\right),x=\sqrt{13}\left(\sqrt{13}=3.60\right)$

Step-by-step solution

Step 1. Given information.

Consider the given equation$x^4-5x^2-8=0$

Step 2. Find the root of the equation.

The root of the equation are.

$$\begin{gathered} x^4-5x^2-8=0 \\ {x}^2\left(x^2-5\right)=0 \\ x=\sqrt{8},x=\sqrt{13} \end{gathered}$$

Step 3. Plot the graph.

The graph of the equation using graphic utility as shown below.

Equation $Y=x^4-5x^2-8$