How many real number solutions are there to the equation 0 = –3x² + x –4? 0 1 2 3
use the discriminant of ax^2+bx+c if (b^2-4ac) > 0, then 2 real solutions if (b^2-4ac) = 0, then 1 solution if (b^2-4ac) < 0, no solutions
From the sign of the equation and the location of the y-intercept, you can tell that there are no real solutions.
Also, from WolframAlpha. Which makes answering questions too damn easy. http://www.wolframalpha.com/input/?i=-3x%C2%B2+%2B+x+%E2%80%934+%3D+0
Yes, but then again, simply answering the question is useless without knowing how to do so in the absence of Wolfram Alpha.
Oh I know ;)
Isaac Asimov's thoughts on the matter: http://www.themathlab.com/writings/short%20stories/feeling.htm :)
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