# Equation: 8 divided by displaystyle{left({x}^{2}+{x}+{1}right)}={1} Use crossing graphs method to solve the above equation. There are 2 solutions. Rou

Decimals
Equation: 8 divided by $$\displaystyle{\left({x}^{2}+{x}+{1}\right)}={1}$$
Use crossing graphs method to solve the above equation. There are 2 solutions. Round answers to 2 decimals. Provide smaller and larger value:
$$\displaystyle{x}={\left({s}{m}{a}{l}\le{r}{v}{a}{l}{u}{e}\right)}{x}={\left({l}{a}{r}\ge{r}{v}{a}{l}{u}{e}\right)}$$

2021-02-20

Step 1
8 divided by $$\displaystyle{\left({x}^{2}+{x}+{1}\right)}={1}$$
This means,
$$\displaystyle{8}\text{/}{\left({x}^{2}+{x}+{1}\right)}={1}$$
Hence, $$\displaystyle{8}={x}^{2}+{x}+{1}$$
Step 2
Let's plot two graphs:
$$y = 8$$
and $$\displaystyle{y}={x}^{2}+{x}+{1}$$

There are two solutions (the points of intersection):
$$x =\ -3.19$$ (smaller value)
$$x = 2.19$$ ( larger value)