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TG3

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**Homework Statement**

Integrate: (x-1) / (X^2 - 4x +5)

**The attempt at a solution**

Normally I would try to factor this into something like (x-1) (x+3) (That's an example completely unrelated to this problem.)

However, as no easy factors quickly occurred to me I did a run through of the quadratic equation, and got 4 +or- (16- 4x1x5)^.5 / 2 = 4 + (-4)^.5 / 2

At my basic level of Calculus, imaginary numbers are taboo, so I want to avoid the square root of a negative number.

Am I missing an obvious factoring, am I performing the quadratic wrong (that would be embarrassing) or should I try another technique? And if another technique.... what is it?