During this course 2011 - 2012 MATHEMATICS is being taught for 4º ESO.

11 / 2 / 12 QUESTIONS OF THE WEEK


1) If x=k is a solution of the equation ax2+bx+c=0, can we assure that x=k belongs to D(c)?

2) Is it always possible to find a solution for  ax2+bx+c=0?


 

2 comments:

  1. 1) I think that the answer is no. The reason why I say it is:
    k can be an unreal number, like square root of -x (a sqrt of a negative number is an unreal number). Unreal numbers are not divisors of any real number (I'm not sure about this and I couldn't find the answer on the Internet).
    2)I think that it's always possible because when a=0 it's a simple first grade equation, and if it doesn't equal 0 then we can use the formula for the 2nd grade equations.

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  2. You are right. In fact, divisors sets are referred to the integers set. On the other hand, the solutions of the quadratic formula can be in C (complex numbers). The Complex Numbers Set include both, real and no real numbers.

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