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 equations, Pythos guides you step-by-step with instant deterministic root checks, factor verification, and interactive parabola plots.
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 $x - y = 1$."