Pythos Oracle

AI Algebra Tutor & Study Guide

Master linear equations, quadratics, polynomials, and systems with verified step-by-step Socratic assistance.

How Pythos Helps You Master Algebra

Whether you are working through introductory algebra or college-level linear systems, Pythos guides you step-by-step with instant deterministic root checks, factor verification, and interactive parabola plots. Powered by our three-layer verification architecture (Math.js, SymPy, and the proprietary Pythos verifier), all algebraic steps are rigorously verified before presentation.

Core Algebra Disciplines

✦ Quadratic Equations & Factoring

Learn to factor trinomials, complete the square, and apply the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

✦ Systems of Linear Equations

Solve 2x2 and 3x3 linear systems using substitution, elimination, and matrix row reduction methods.

✦ Exponents & Logarithms

Master power rules, natural logarithms ($\ln x$), exponential growth, decay rates, and change-of-base identities.

✦ Functions & Parabola Graphing

Plot linear equations, find vertex minima/maxima for quadratic curves ($y = ax^2 + bx + c$), and analyze domain and range.

Sample Problems to Ask Pythos

Try entering these prompts directly into the Pythos Oracle:

"How do I factor $2x^2 + 7x + 3$ step by step?"
"Graph $y = x^2 - 4$ and find its roots and vertex."
"Why is $(x + y)^2 \neq x^2 + y^2$? Prove it algebraically."
"Solve the linear system: $2x + 3y = 12$ and $x - y = 1$."
Practice Algebra in Pythos