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Math & Statistics

Algebra calculators

Solving for the unknown, with the working shown. Each tool gives the steps rather than only the answer, because an answer you cannot reproduce is one you cannot check, and checking is most of the reason to use a calculator for algebra at all.

Exponent CalculatorA base raised to any power, including negative and fractional exponents, with the result in scientific notation when it runs long. A negative exponent is a reciprocal, not a negative number.Square Root CalculatorThe square root of a number, with the negative root shown alongside because both satisfy the equation. A negative input has no real square root and this says so rather than returning nothing.Cube Root and Nth Root CalculatorAny root of a number, computed as a fractional power. Odd roots of negative numbers are real and are handled; even roots of negatives are not.Logarithm CalculatorA logarithm in any base, computed through the change-of-base identity. A logarithm answers "what power do I raise this base to", which is the sentence that makes the whole idea click.Antilog CalculatorThe inverse of a logarithm: given the log, recover the number. Useful for reading log-scale data such as pH, decibels or seismic magnitudes back into ordinary units.Quadratic Equation SolverA quadratic solved with the discriminant, the vertex and both roots, including complex ones. A negative discriminant is a conjugate pair rather than an error, and reporting it as no solution is simply wrong.Linear Equation SolverA linear equation of the form ax plus b equals c, solved with the substitution shown as a check. The two degenerate cases, no solution and infinitely many, are named rather than hidden behind a division by zero.Polynomial CalculatorEvaluate a polynomial and its derivative at a point, with any integer roots found by search. Evaluation uses Horner, which needs far fewer multiplications and loses less precision than raising powers.

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