How many solutions are there to the equation |x^2-6x|=9?

3 answers

/x^2-6x/=9
Or
/x^2-6x/=-9

re-check the question.
/x^2-6x/=9
two cases to start:
x^2 - 6x = 9 or -x^2 + 6x = 9

#1:
x^2 - 6x - 9 = 0
two solutions

#2:
x^2 - 6x + 9 = 0
(x-3)^2 = 0
x = 3

so there are 3 solutions.

You asked "how many"