Q. 7 - Precalculus Enhanced with Graphing Utilities

Question

In Problems 5–16, use a graphing utility to approximate the real solutions, if any, of each equation rounded to two decimal places. All solutions lie between - 10 and 1$-2x^4+ 5 = 3x - 2$

Step-by-Step Solution

Answer

Value of X is approximately 1.15 and -1.5.

Step 1. Given equation

$-2x^4 + 5 = 3x - 2$

Step 2. Simplify equation and draw graph

$$\begin{gathered} -2x^4 + 5 = 3x - 2 \\ \Rightarrow -2x^4 + 5 - 3x + 2=0 \\ \Rightarrow -2x^4 - 3x + 7=0 \end{gathered}$$

Step 3.X-intercepts from the graph

$x\approx \hspace{0.17em}1.15341\dots ,\hspace{0.17em}x\approx \hspace{0.17em}-1.55393\dots$