Q 5. - Precalculus Enhanced with Graphing Utilities

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 $x^4-5x^2-8=0$

Step-by-Step Solution

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