How many intersections are there between the image of function y = x ^ 2-3 / X-1 / - 1 and X axis | Math enthusiast | Mathematical art

How many intersections are there between the image of function y = x ^ 2-3 / X-1 / - 1 and X axis

Right?
y= x^2 -3* |x-1| -1
(| X-1 | refers to absolute value)
That's asking
The number of solutions of x ^ 2 - 3 * | X-1 | - 1 = 0
x^2-1=3* |x-1|
(x-1)(x+1)=3* |x-1|
X-1 = 0 or x + 1 = plus or minus 3
x=1 or x=-4 or x=2
So there are three intersections!

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