The number of intersections between the image of function y = (X & # 178; - 2x) &# 178; - 9 and X axis is

The number of intersections between the image of function y = (X & # 178; - 2x) &# 178; - 9 and X axis is

(x²-2x)²-9=0
(x²-2x+3)(x²-2x-3)=0
x²-2x-3=0
(x-3)(x+1)=0
x1=3, x2=-1
The number of intersections between the image of function y = (X & # 178; - 2x) &# 178; - 9 and X axis is 2