How many real numbers satisfy x^6 + |x| = 7?
Set Up:
x^6 + |x| - 7 = 0
x^6 + x - 7 = 0
Correct so far?
Solving a 6th order equation is going to be problematic, to put it mildly. My suggestion would be to graph it and note how many real zeros you get. (There should be 0, 2, 4, or 6 of them.)
I realize that means the comment about the absolute value was meaningless (you can plug the absolute value into the graphing calculator) but it needed to be corrected. Graph it and see what happens.
-Dan