The above polynomial has exactly one real root . Find .
Notation: denotes the greatest integer smaller than or equal to . This is known as the greatest integer function.
Consider this equation
There are 2 trivial solutions, namely and
However, the equation is known to also have a negative solution. Find the negative solution.
Give your answer to 3 decimal places.
Find the value of to 3 significant figures, so that and are distinct real solutions to
If and are distinct positive real numbers satisfying the equation above, find .
You are allowed to use computer assistance.
You might refer to Soumava's algorithm.
Which option is closest to the largest real root of the equation above?