Question 312441
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Distribute and put in standard form:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ x\ -\ 27\ =\ 0]


Use the quadratic formula where *[tex \Large a\ =\ 1], *[tex \Large b\ =\ 1], and *[tex \Large c\ =\ -27]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{-b\ \pm\ \sqrt{b^2\ -\ 4ac}}{2a} ]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{-(1)\ \pm\ \sqrt{(1)^2\ -\ 4(1)(-27)}}{2(1)}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{-1\ \pm\ \sqrt{109}}{2}]


Since 109 is prime, this is in simplest form.  Use your calculator if you need a numerical approximation.



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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