Math01
Quadratic Formula
x = (−b ± √(b² − 4ac)) / 2a
Solves any quadratic equation of the form ax² + bx + c = 0 for x.
Mathematics reference
Mathematics formulas, made clear.
Mathematics is the grammar of every science. These are the core relationships you will reach for again and again — each shown clearly and paired with a plain-language explanation of what it actually does.
Math02
Pythagorean Theorem
a² + b² = c²
In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
Math03
Area of a Circle
A = π r²
The space enclosed by a circle of radius r.
Math04
Slope of a Line
m = (y₂ − y₁) / (x₂ − x₁)
How steep a straight line is — the change in y over the change in x.
Math05
Distance Formula
d = √((x₂ − x₁)² + (y₂ − y₁)²)
The straight-line distance between two points on a plane.
Math06
Perfect Square
(a + b)² = a² + 2ab + b²
Expands a squared binomial without multiplying it out by hand.