Math & Statistics Calculators

Math tools that only print an answer teach nothing and are impossible to check. Every calculator here shows the full solution path — the discriminant before the roots, the expected counts before the chi-square statistic, the substitution steps in completing the square — so you can follow the work, spot where your own attempt diverged, and learn the method rather than borrow the result. Formulas come from standard references: university course materials and the NIST/SEMATECH e-Handbook of Statistical Methods.

The statistics tools compute genuine p-values rather than pointing you at a lookup table, and they say out loud which assumptions each test makes — sample independence, normality, minimum expected counts — because a test run outside its assumptions produces confident nonsense. These are homework helpers and research aids, not substitutes for understanding: check your steps against the shown work, and when a real study rides on the answer, confirm the analysis with someone who does statistics for a living.

• Quadratic Equation Solver

  Roots (real or complex, in exact and decimal form), discriminant, vertex, and factored form — with every step shown.

• Complete the Square Calculator

  Transform ax² + bx + c into vertex form step by step, with exact fractions at every stage.

• t-Test Calculator

  One-sample, Welch two-sample, or paired — t statistic, degrees of freedom, and exact p-values from your data.

• Chi-Square Test Calculator

  Goodness of fit and independence tests with expected counts shown and small-cell warnings.

• Plot Digitizer (Graph → Data)

  Turn a picture of a chart back into numbers: calibrate the axes, click the points, export CSV.