My book has the x-int as just zero, but it looks like there's also 2. What am I doing wrong, or is my book wrong?
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The book is right. You followed the usual way of simplifying the expression.
x(x - 2)^2 / (x - 2)
x(x - 2) = 0
You solve for each individual x solution. It is x = 0 and x = 2. However, you have to look back to the original expression. Notice that x = 2 is a restriction because it makes the denominator 0. You have to be careful with finding solutions. Make sure you know the domain before you do this.
x(x - 2)^2 / (x - 2)
x(x - 2) = 0
You solve for each individual x solution. It is x = 0 and x = 2. However, you have to look back to the original expression. Notice that x = 2 is a restriction because it makes the denominator 0. You have to be careful with finding solutions. Make sure you know the domain before you do this.