Final answer to the problem
$f\left(x\right)=\frac{x^2-2x+1}{\sqrt{x^2-2x}}$
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Step-by-step Solution
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- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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1
A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: $(a-b)^2=a^2-2ab+b^2$
$f\left(x\right)=\frac{x^2-2x+1}{\sqrt{x^2-2x}}$
Final answer to the problem
$f\left(x\right)=\frac{x^2-2x+1}{\sqrt{x^2-2x}}$