Solve the following quadratic equation by factorization.
$x - \frac{1}{x} = 3, x \neq 0$

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Solution

This equation cannot be solved by factorization. Use the formula.

-b±√(b²-4ac)
--------------
2a

3±√[3²-4(1)(-1)]
-------------------
2(1)

3±√(9+4)
-------------
2

3±√13
-------
2

3±√13
x= ------
2

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