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

Short answer

Value of X is approximately 1.15 and -1.5.

Step-by-step solution

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 

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