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 10. $-x^4+1=2x^2-3$

Short answer

The values of X are approximately 1.11 and -1.11.

Step-by-step solution

Step 1. Given equation

$-x^4+1=2x^2-3$

Step 2. Simplify  the equation 

$$\begin{gathered} -x^4+1=2x^2-3 \\ \Rightarrow -x^4+1-2x^2+3=0 \\ \Rightarrow -x^4-2x^2+4=0 \end{gathered}$$

Step 4.Draw the graph and X-intercepts

x-intercepts are$x\approx 1.11178...x\approx -1.11178...$