Solve quadratic equations ax² + bx + c = 0 and linear equations bx + c = 0 with detailed steps, discriminant analysis, vertex calculation, and axis of symmetry.

Math & Numbers

Prime Number Checker

Check if a number is prime (a natural number greater than 1 that has no positive divisors other than 1 and itself)

Math & Numbers

Pressure Unit Converter

Convert between different pressure units (pascal, bar, psi, atmosphere, etc.)

Math & Numbers

Pascal's Triangle Generator

Generate Pascal's triangle with customizable number of rows

Math & Numbers

Polynomial Calculator

Evaluate and analyze polynomials

Math & Numbers

Rational Number Calculator

Perform arithmetic operations on fractions

Finance

Present Value Calculator

Calculate present value of future cash flows and investment analysis

Math & Numbers

Moment of Force Converter (N·m / dyn·cm / lbf·ft / kgf·m)

Convert moment of force (torque) between newton-metre (N·m, SI base), dyne-centimetre (dyn·cm, CGS = 10⁻⁷ N·m), pound-foot (lbf·ft = 1.3558179483314004 N·m), and kilogram-force-metre (kgf·m = 9.80665 N·m). Each factor is the exact product of the matching force factor and length factor. Converts via N·m to the target unit and lists all four equivalents. Reference: wheel-nut tightening torque ≈ 100 N·m, passenger-car engine peak torque ≈ 250 N·m.

Math & Numbers

Motor Efficiency Calculator (η = P_out / P_in)

Compute motor efficiency η = P_out / P_in. Supports electrical input (single-phase U·I·cosφ or three-phase √3·U·I·cosφ) or direct P_in; output power can be derived from a loss breakdown (copper+iron+rotor copper+mechanical+stray) or supplied directly.