use a graphing utility to approximate the real solutions, if any, of each equation rounded to two decimal places. all solutions lie between -10 and 10
x^3 - 8x + 1 = 1
This one isn't too hard to solve algebraically but nonetheless put the graph of and look for y intercepts which will be the roots of the equation.
Algebra gives solutions of
See attached graph (done in kmplot) Attachment 18921