Algebra Calculator

  • System of Equations Calculator
    Solve a 2-variable linear system a₁x+b₁y=c₁, a₂x+b₂y=c₂ instantly using Cramer's rule. Detects parallel/identical lines with no unique solution.
  • Numerical Integration Calculator
    Estimate a definite integral of f(x) over [a, b] with the Trapezoidal, Midpoint and Simpson's rules. Shows a convergence table as subdivisions double.
  • Slope Intercept Form Calculator
    Find the slope-intercept equation y = mx + b from two points. Calculates slope (m) and y-intercept (b) instantly with steps.
  • Logarithm Equation Calculator
    Solve the logarithm equation log_b(x) = y for any unknown — base b, argument x, or value y — using x = b^y and the change-of-base rule.
  • Fibonacci Calculator
    Calculate the nth Fibonacci number instantly. Uses Binet's golden-ratio formula F(n)=round(φⁿ/√5) with exact iterative results and term sum.
  • Scientific Notation Arithmetic Calculator
    Add, subtract, multiply or divide numbers in scientific, E or engineering notation. Get the answer in scientific, E and engineering notation with SI prefix.
  • Scientific Notation Converter
    Convert any number to scientific notation, e notation, engineering notation, SI prefix, standard form, order of magnitude, expanded real number and English words.
  • Logarithm Calculator
    Free logarithm calculator. Compute log base 10, natural log (ln), log base 2, or any custom base using log_b(x) = ln(x)/ln(b). Instant results.
  • Slope From Equation Calculator
    Find the slope of a line from its standard-form equation Ax + By = C. Enter A, B and C to get slope m = -A/B and the y-intercept instantly.
  • 3×3 System of Equations Calculator
    Solve a 3×3 system of linear equations in x, y, z using Cramer's rule. Enter all 12 coefficients and get the exact solution and determinant instantly.
  • 3x3 System of Equations Calculator
    Solve a 3x3 system of linear equations using Cramer's Rule. Enter coefficients to find x, y, z plus all determinants instantly.
  • Percent to Decimal & Fraction Calculator
    Convert any percentage to its decimal value and a reduced (simplified) fraction instantly. Free, accurate percent-to-decimal and percent-to-fraction tool.
  • Mixture Problem Calculator
    Solve mixture and concentration blending problems. Combine two solutions of different strengths and find the final concentration, total volume, and solute.
  • Completing the Square / Vertex Calculator
    Find the vertex, minimum or maximum of a quadratic ax^2 + bx + c. Computes vertex x = -b/(2a) and the extreme value c - b^2/(4a) instantly.
  • Quadratic Factoring Calculator
    Factor any quadratic ax²+bx+c into binomial form a(x−r₁)(x−r₂). Enter a, b, c to get the roots, discriminant, and factored expression instantly.
  • Solve for a Variable (Formula Rearranger)
    Solve any linear equation of the form a·x + b = c·x + d for x. Handles unique solutions, identities (all values), and no-solution cases instantly.
  • Simplify Square Root to Radical Form Calculator
    Simplify any square root into simplest radical form a√b. Enter a number to get the coefficient, radicand, and decimal value instantly.
  • Convert Between Radical and Exponential Form
    Convert exponential form to radical form (and back) and evaluate x^(m/n). Enter base, numerator and denominator to get the nth root of x^m instantly.
  • Percent Proportion Solver for X
    Solve the percent proportion part/whole = percent/100 for any unknown. Find the part, the whole, or the percent instantly with steps.
  • Linear System of 3 Unknowns Solver
    Solve a system of 3 linear equations in 3 unknowns (x, y, z) by Gauss-Jordan elimination. Shows the unique solution and the reduced row echelon form.
  • Square Root of a Negative Number Calculator
    Simplify the square root of a negative number into i·√n form. Enter any number to get the imaginary coefficient instantly with steps.
  • Quadratic Equation Calculator
    Solve any quadratic equation ax²+bx+c=0 instantly. Get real or complex roots and the discriminant using the quadratic formula. Free and accurate.
  • Power Set Calculator
    Compute the power set of any set: get the number of subsets (2^n) and a full list of every subset, including the empty set, instantly.
  • 3D Line Equation From Two Points Calculator
    Find the parametric and symmetric equation of a line in 3D from two points. Get the direction vector, components, and distance instantly.

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