Algebra and Geometry Solvers

Complex number arithmetic, modulus and argument, integer powers, square root and n-th roots, in rectangular and polar form.

Plane geometry from coordinates: line through two points, distance, circle through three points, polygon area, intersections.

Solve ax^3 + bx^2 + cx + d = 0: all three roots (real and complex) by Cardano and the trigonometric method.

Solve linear equations Ax = b (up to 6 unknowns): unique, none or infinite solutions, with rank and determinant.

Matrix determinant, inverse, transpose, rank, trace, product with a second matrix, and eigenvalues of 2x2 and 3x3 matrices.

Solve ax^2 + bx + c = 0: real or complex roots, discriminant, vertex, axis of symmetry and factored form.

Arithmetic and geometric sequences: n-th term and sum (and infinite sum when it converges), plus Fibonacci and Lucas numbers.

Area, perimeter, surface area and volume of circles, polygons, sectors, spheres, cylinders, cones, boxes, tori and more.

Solve a triangle from any three of sides a, b, c and angles A, B, C (degrees), incl. ambiguous SSA, with area and radii.

Sine, cosine, tangent of an angle in degrees or radians, exact values at special angles, and inverse trig functions.

Vector operations: dot and cross product, magnitudes, angle between vectors, projection, unit vectors and distance.