Question 616578
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I would not use graphing technology to find the solutions of *[tex \LARGE -x^2\ +\ 2.5x\ +\ 1\ =\ 0].  That is because you cannot find the solutions of the given equation using graphing technology.  The solutions of the given equation are a conjugate pair of irrational numbers.  The best you can do with graphing technology is to determine a numerical approximation of the desired roots.  The quadratic formula or completing the square are the only two techniques that provide the exact solutions, namely: *[tex \LARGE\ \frac{5\ \pm\ \sqrt{41}}{4}]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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