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

Bergen

Bergen

Answered question

2021-02-19

Equation: 8 divided by (x2+x+1)=1
Use crossing graphs method to solve the above equation. There are 2 solutions. Round answers to 2 decimals. Provide smaller and larger value:
x=(smalrvalue)x=(larrvalue)

Answer & Explanation

hosentak

hosentak

Skilled2021-02-20Added 100 answers

Step 1
8 divided by (x2+x+1)=1
This means,
8/(x2+x+1)=1
Hence, 8=x2+x+1
Step 2
Let's plot two graphs:
y=8
and y=x2+x+1
image
There are two solutions (the points of intersection):
x= 3.19 (smaller value)
x=2.19 ( larger value)

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