Equations and polynomial roots
Solve linear, quadratic, cubic, and higher-degree polynomial problems from coefficients. Compare real and complex roots, discriminants, residuals, and system-solving methods.
FREE ONLINE MATH CALCULATORS
Math calculators for equations, graphs, matrices, roots, and data.
Choose a focused online math calculator for algebra, graphing, polynomial roots, matrices, descriptive statistics, and step-by-step equation workflows.HOW TO USE THIS COLLECTION
Find the math method that matches the question.
SolveGrid separates graphing, equation solving, polynomial roots, matrices, and statistics into dedicated workspaces. This keeps each input clear and helps you choose between an exact algebraic method, a numerical estimate, or a visual graph.
Use the Graphing Calculator when shape, intercepts, intersections, or a table of values matter. Use Equation Solver for linear, quadratic, cubic, and simultaneous equations. Use Polynomial Solver for coefficient-based roots up to degree 10, and Matrix Calculator for RREF, rank, determinants, inverses, and A·x = b systems.
AVAILABLE CALCULATORS
Choose a focused tool for the task.
⌁→x²→f(x)→[ ]→σ→
Graphing Calculator
Plot and compare several functions, inspect tables and trace values, estimate x-intercepts and intersections, adjust the graph window, and use a clear online workflow for common graphing-calculator tasks.
Equation Solver
Use a clear online equation solver for one-variable equations and simultaneous linear systems. Enter coefficients, solve linear, quadratic, and cubic equations, or compare matrix methods for A·x = b systems.
Polynomial Solver
Enter polynomial coefficients from the highest power to the constant term, then calculate real and complex roots numerically with residual checks for degree 1 through 10 equations.
Matrix & Vector Calculator
Build or paste 2×2 through 10×10 matrices, then calculate arithmetic, row reduction, RREF, matrix rank, row-space clues, inverse, determinants, cofactors, adjugates, 2×2 eigenvalues, and A·x = b systems.
Statistics Calculator
Analyse raw data, frequency tables, grouped intervals, or paired X/Y values using descriptive statistics, sample and population standard deviation, variance, quartiles, IQR, outlier checks, and regression results.
COMMON WORKFLOWS
What you can calculate in this section
Graphs, tables, and intersections
Plot several functions, inspect values in a table, trace a chosen x-coordinate, and estimate roots or intersections inside the current graph window.
Matrices and statistics
Reduce matrices to REF or RREF, calculate rank and determinants, solve linear systems, or analyse raw and grouped data with standard deviation and regression tools.
CHOOSE THE RIGHT METHOD
A practical three-step workflow
Start with the form of the problem
A function written as y = f(x) usually belongs in the graphing workspace. A coefficient equation belongs in Equation Solver or Polynomial Solver. A table of observations belongs in Statistics Calculator.
Choose exact or numerical output
Quadratic and matrix methods can provide structured algebraic results, while graph intersections and higher-degree polynomial roots are often numerical approximations. The tool page states the method and scope.
Check the answer another way
Graph a solved equation, substitute a root back into the polynomial, or verify a system with matrix methods. Related-tool links make these checks easier to reach.
LEARN THE FORMULA OR METHOD
Related SolveGrid guides
GUIDETI-84 style online calculator workflowsUse independent online workflows for graphing equations, tables, trace values, roots, intersections, scientific calculations, matrices, statistics, and unit conversion.Read →GUIDELinear, quadratic, cubic, and system equationsChoose the right equation-solving method for one-variable equations and simultaneous linear systems.Read →GUIDEPolynomial roots and complex rootsFind polynomial roots from coefficients and understand real roots, complex roots, and residual checks.Read →GUIDEPlot one, two, or multiple equationsPlot equations online, compare multiple functions, inspect tables, understand overlapping graphs, and estimate roots or intersections.Read →GUIDEGaussian elimination for linear systemsUse row operations, pivots, REF, and back-substitution to solve systems with several unknown values.Read →GUIDEMatrix inverse and determinantUnderstand determinants, singular matrices, inverse conditions, and inverse-based system solutions.Read →
COMMON QUESTIONS
Using math & algebra tools
Which online math calculator should I use?
Use Graphing Calculator for curves and tables, Equation Solver for linear through cubic equations and systems, Polynomial Solver for degree 1–10 roots, Matrix Calculator for linear algebra, and Statistics Calculator for data analysis.
Can SolveGrid show steps or methods?
Many tools show intermediate calculations, method notes, formulas, assumptions, or row-reduction information. The connected guides explain the underlying workflow in more detail.
Are graph roots and intersections exact?
Graph-based roots and intersections are numerical estimates within the selected graph window. Use a dedicated equation or polynomial solver when you need coefficient-based values.
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