Question

Solving Equations: graphically find all real solutions of the equation x^{3}-2x^{2}-x-1=0

Decimals
ANSWERED
asked 2021-08-03
Solving Equations Graphically Find all real solutions of the equation, rounded to two decimals.
\(\displaystyle{x}^{{{3}}}-{2}{x}^{{{2}}}-{x}-{1}={0}\)

Expert Answers (1)

2021-08-04
Step 1
Given,
\(\displaystyle{x}^{{{3}}}-{2}{x}^{{{2}}}-{x}-{1}={0}\)
To solve any equation graphically, draw the graph of the given equation and find out the point at which it cuts the x-axis.
image
Step 2
Hence, from the graph, it is quite clear that the equation has only 1 real solution, i.e. \(\displaystyle{x}={2.547}\). Rounding off to 2 decimals, \(\displaystyle{x}={2.55}\) is the only real solution for \(\displaystyle{x}^{{{3}}}-{2}{x}^{{{2}}}-{x}-{1}={0}\)
33
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours
...