Quadratic equation
D = b² − 4ac; x = (−b ± √D) / 2a
For the equation ax² + bx + c = 0, where a ≠ 0.
Mathematics glossary
A growing mathematics glossary with algebra, geometry, core formulas, theory, practice, articles, and an equations test.
Theory
Short explanations of mathematical concepts and connections before independent practice.
Open section →
Practice
A process for independent problem solving and checking every step.
Open section →
Equations test
A self-check on linear and quadratic equations with answer explanations.
Open section →
Mathematics blog
Detailed guides to mathematical topics and effective learning tools.
Open section →
Core mathematics formulas
Use a formula after identifying the topic and its conditions. The short notes below help connect the notation to its meaning.
Linear function
y = kx + b
k defines the slope of the line, and b is its y-intercept.
Pythagorean theorem
a² + b² = c²
For a right triangle, where c is the hypotenuse.
A simple revision path
Start with a short explanation, solve several problems without hints, and then use the test to check whether the topic is ready for the next step.
Discuss the goal and lesson format
Send me the student's grade, subject, preparation goal, and convenient time on Telegram or Instagram. I will reply and explain the next step.