Question 994128
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 6x^2\ -\ 7x\ =\ 2k]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 6x^2\ -\ 7x\ -\ 2k\ =\ 0]


For two distinct roots, the discriminant must be greater than zero, so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 49\ +\ 48k\ >\ 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ k\ >\ -\frac{49}{48}]


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

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \