Algebra
The quadratic formula, factoring trinomials, completing the square, solving a system of equations, and simplifying radicals: standard algebra problems solved with the worked method shown alongside the answer, not just a number.
Calculators & Tools
radical calculator
The Radical Calculator computes the nth root of any real number, including square roots, cube roots, and higher-order roots. It simplifies radical expressions by identifying perfect power factors and returns the result in both decimal and simplified radical form where applicable. Use it to solve radical equations, simplify expressions, and check manual radical simplifications in algebra and calculus work.
Quadratic Formula Calculator
Solves quadratic equations ax² + bx + c = 0 using the quadratic formula. Returns both roots (real or complex), the discriminant, and the vertex of the parabola.
Factoring Trinomials Calculator
Factors quadratic trinomials ax² + bx + c into linear factors over the integers or rationals. Uses the quadratic formula to find roots and constructs the factored form. Returns a message if the trinomial cannot be factored over the integers.
Completing the Square Calculator
Converts a quadratic expression ax² + bx + c to vertex form a(x - h)² + k. Shows the vertex (h, k), the step-by-step process, and the roots of the equation.
Slope Calculator
The Slope Calculator finds the slope (gradient) of a line through two points using m = (y2 - y1)/(x2 - x1), plus the slope-intercept equation, standard form, and angle of inclination.
System of Equations Calculator
Solves a 2x2 linear system (a1x + b1y = c1, a2x + b2y = c2) using Cramer's Rule. Returns the unique solution (x, y), or identifies the system as parallel (no solution) or dependent (infinite solutions).