Greetings in the name of Jah-gonaut, ladies and gents. I have a question. Is there a strictly algebraic way of coding the notion "whole number value of", specifically for an irrational number?(adsbygoogle = window.adsbygoogle || []).push({});

I know that one way of coding the notion "absolute value of" some number is taking the square root of the square. Can something similar be done to code for "whole part" of some number, using only algebraic symbols or numbers? Namely, in my case, can some kind of manipulation of symbols be done with the irrational part of a solution to some polynomial equation {by which I mean the "sqrt(b^{2}+ 4ab)" part of the solution)}, using ONLY the symbols a or b?

For example, let's take the two solutions to the polynomial equation x^{2}+ 21x - 155 = 0:

-26.7864974749.... and 5.7864974749....

I want to separate the decimal expansion from the whole value 5 for the second solution. But I want to perform this step using only algebraic symbols, pretending - say - that I'm some machine that doesn't otherwise know the command "separate the whole part from the decimal expansion".

Can I perform some finite manipulation of the symbols a, b, or c (from the polynomial formula) to do this?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Is there a strictly algebraic way of coding "whole number value of"?

Loading...

Similar Threads - strictly algebraic coding | Date |
---|---|

I Clarifying a corollary about Quadratic Forms | Mar 7, 2018 |

I Can you reduce a vector triple product? i.e. (A x (uB x C)) | Jan 19, 2018 |

This isn't strictly math, but question about hedging investments | Nov 27, 2010 |

A strict non-standard inequality .999 < 1 | Mar 29, 2009 |

Where can I buy a math book strictly with questions for practice purposes? | Feb 7, 2009 |

**Physics Forums - The Fusion of Science and Community**