Question

How many solutions are there to the equation \(\left| x^2 - 6x \right| = 9\)?

I put 2 but its not right.

Answer 1

well you need to solve

\[x^2 - 6x = 9~~~and~~~~x^2 - 6x = -9\]

then check to see if the solutions make sense by substituting

Answer 2

|x^2-6x|=9
x^2-6x=+ 9......, x^2-6x=-9
x^2-6x-9=0 and x^2-6x+9=0
now use the quadratic formula to find solution or if it can be factor...