Draw the graph of the function: Solve `|(x^2)/(x-1)|lt=1` using the graphical method.

Explanation

`|(x^(2))/(x-1)| le 1 " or " x^(2) le |x-1|, x ne 1`

The figure represents the graph of `y=x^(2) " and " y=|x-1|.`
Solving `x^(2)=1-x,` we get `x=(-1+-sqrt(5))/(2).`
Thus, the solution is `[(-1-sqrt(5))/(2),(-1+sqrt(5))/(2)]`.