Re: determine the irreducible polynomial

Per Vognsen wrote:
[snip]
> latter cases are symmetrical.) We have the coefficient equations a+c =
> 0 and b+d+ac = -16 and together they imply -a^2 = -16-b-d. In the first
> case b+d = 4 and so the equation is -a^2 = -12. In the second case b+d
> = 5, so the equation is -a^2 = -11. Neither 11 nor 12 have integer
> square roots so this is not possible.
>
> I hope I didn't make any algebra errors.

Doh, I most certainly did. The two equations at the end should have
been a^2 = 20 and a^2 = 21. In any case the same reasoning still
applies since 20 and 21 don't have integer square roots.

Per

.

Relevant Pages

  • Re: Square roots : mail received
    ... >>Where is it possible to find the square roots of natural numbers with a number of decimals as great as possible? ... Prev by Date: ...
    (sci.math)
  • Re: A little lesson for sqrt(144) year olds.
    ... > A few posters recently showed having some 'minor' ... > difficulties with the concept of square roots: ... For fun, I asked a friend to check how packages like Maple ...
    (sci.math)
  • Re: A little lesson for sqrt(144) year olds.
    ... > A few posters recently showed having some 'minor' ... > difficulties with the concept of square roots: ... For fun, I asked a friend to check how packages like Maple ...
    (sci.physics)
  • Re: A little lesson for sqrt(144) year olds.
    ... > A few posters recently showed having some 'minor' ... > difficulties with the concept of square roots: ... For fun, I asked a friend to check how packages like Maple ...
    (sci.physics.relativity)
  • Re: SR wrong - no.
    ... > would know that division by zero is undefined. ... anything at all and square roots: ... anything at all and exclusive ors: ...
    (sci.physics.relativity)