# Using Symbolics & Nemo; Unexpected roots of simple 2nd degree polynomial equation

**URL:** <https://discourse.julialang.org/t/using-symbolics-nemo-unexpected-roots-of-simple-2nd-degree-polynomial-equation/127281>\
**Category:** New to Julia\
**Tags:** question\
**Created:** [March 23, 2025, 2:01pm UTC](https://discourse.julialang.org/t/using-symbolics-nemo-unexpected-roots-of-simple-2nd-degree-polynomial-equation/127281 "2025-03-23T14:01:58Z")\
**Posts on this page:** 1\
**Showing post:** 3

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**Author:** ![theo.bruelhart](https://avatars.discourse-cdn.com/v4/letter/t/5f9b8f/32.png) [@theo.bruelhart](https://discourse.julialang.org/u/theo.bruelhart)\
**Post date:** [March 23, 2025, 8:10pm UTC](https://discourse.julialang.org/t/using-symbolics-nemo-unexpected-roots-of-simple-2nd-degree-polynomial-equation/127281/3 "2025-03-23T20:10:40Z")

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You are entirely correct, and I value your quick reply. I am uncertain how I failed to recognize this (obvious) fact; I must have been fatigued while addressing this equation.

I have corrected this post and opened a new query [1] to explore how to simplify the output further, specifically why it is not presented in its simplest form and if there is a way to enforce maximum algebraic reduction.

[1] [Achieving Maximum Algebraic Simplification in Symbolic Computation](https://discourse.julialang.org/t/achieving-maximum-algebraic-simplification-in-symbolic-computation/127288)

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