MATH
Algebra & equations calculators
Calculate direct or inverse variation from a supplied constant, a quadratic discriminant, the horizontal vertex coordinate for a positive leading coefficient, a logistic sigmoid, or continuous mathematical growth and decay from a supplied constant rate.
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These are specific scalar jobs rather than general equation solvers. The discriminant does not return roots; vertex tools return the horizontal coordinate only. The sigmoid is a bounded mathematical mapping, not an inferred probability or trained model. Growth and decay use compatible abstract time units and supplied constant rates; they do not predict financial or biological outcomes. The positive-root quadratic job requires a positive leading coefficient and a negative constant; completed-square and two-binomial tools return one named constant or coefficient, without symbolic factorization claims.
20 tools
- Completed-Square Constant for a x²+b x+c Calculator
Completed-Square Constant for a x²+b x+c. Example: A: 1 number, B: 4 number, C: 7 number gives 3 number. Real numeric coefficients a>0; no symbolic algebra parser. Original useful product scope; historical catalog title does not grant missing modes or source parity.
- Complex Conjugate Component Calculator
Complex Conjugate Component. Component: 0=real, 1=imaginary: Real component, Imaginary component only. Example: A: 3 number, B: 2 number, Component: 0=real, 1=imaginary: 0 number gives 3 number. Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity.
- Complex Principal Phase with Positive Real Part Calculator
Complex Principal Phase with Positive Real Part. Example: Real: 3 number, Imag: 4 number gives 53.1301023542 degrees. Phase only, real part positive; negative-real branch-cut cases and full polar output deferred. Original useful product scope; historical catalog title does not grant missing modes or source parity.
- Complex Product Component Calculator
Complex Product Component. Component: 0=real, 1=imaginary: Real component, Imaginary component only. Example: A: 3 number, B: 2 number, C: 1 number, D: 4 number, Component: 0=real, 1=imaginary: 0 number gives -5 number. Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity.
- Complex Quotient Component, Positive Divisor Real Part Calculator
Complex Quotient Component, Positive Divisor Real Part. Component: 0=real, 1=imaginary: Real component, Imaginary component only. Example: A: 3 number, B: 2 number, Positive divisor real part: 1 number, D: 4 number, Component: 0=real, 1=imaginary: 0 number gives 0.647058823529 number. Divisor real component c≥0.1 guarantees nonzero; wider complex divisor domains deferred. Original useful product s
- Continuous Exponential Decay from Supplied Rate and Time Calculator
Continuous Exponential Decay from Supplied Rate and Time. Example: Initial: 100 units, Decay rate: 0.1 1/time, Time: 5 time gives 60.6530659713 units. Supplied nonnegative decay constant and compatible abstract time unit; no half-life sources or maintained domain model. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Continuous Exponential Growth from Supplied Rate and Time Calculator
Continuous Exponential Growth from Supplied Rate and Time. Example: Initial: 100 units, Rate: 0.1 1/time, Time: 5 time gives 164.87212707 units. Supplied constant nonnegative rate per selected abstract time unit; elapsed time same unit. No fitted rates, forecasts or biological/financial guarantees. Only this original stated job is proposed, not full historical source coverage. Input domains and o
- Continuous Growth Doubling Time from Supplied Positive Rate Calculator
Continuous Growth Doubling Time from Supplied Positive Rate. Example: Growth rate: 0.1 1/time gives 6.9314718056 time. Positive continuous exponential growth rate per abstract time unit, not discrete percentage return or Rule of72 estimate. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Cubic Polynomial Value at x Calculator
Cubic Polynomial Value at x Calculator — change the supplied values to calculate cubic polynomial value at x.
- Direct Variation Calculator from a Supplied Constant
Direct Variation Calculator from a Supplied Constant. Example: Constant: 12 number, X: 3 number gives 36 number. All quantities dimensionless; no fitting constant from observations. Inverse input x positive. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Intersection x of Two Lines with Separated Slopes Calculator
Intersection x of Two Lines with Separated Slopes. Example: Slope: 2 number, Gap: 1 number, B1: 3 number, B2: 1 number gives 2 number. Slopes parameterized with positive separation g; no parallel/coincident case support. Original useful product scope; historical catalog title does not grant missing modes or source parity.
- Inverse Variation Calculator from a Supplied Constant
Inverse Variation Calculator from a Supplied Constant. Example: Constant: 12 number, X: 3 number gives 4 number. All quantities dimensionless; no fitting constant from observations. Inverse input x positive. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Logistic Sigmoid of a Real Number Calculator
Logistic Sigmoid of a Real Number. Example: Value: 1 number gives 0.73105857863 number. Dimensionless transform only; no calibrated probability, machine learning model or medical interpretation. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Negative Input Floor Remainder with Power-of-Two Modulus Calculator
Negative Input Floor Remainder with Power-of-Two Modulus Calculator — change the supplied values to calculate negative input floor remainder with power-of-two modulus.
- Positive Root of a x²+b x−q=0 Calculator
Positive Root of a x²+b x−q=0. Example: A: 1 number, B: 2 number, Q: 3 number gives 1 number. a>0,q>0 assures real roots; chosen positive root only. Bound denominator using4aq/(sqrt+b magnitude) not naive interval subtraction. Both eager branches valid; sign-switch avoids subtraction cancellation in chosen branch. Original useful product scope; historical catalog title does not grant missing mode
- Product of Two Linear Binomials Coefficient Calculator
Product of Two Linear Binomials Coefficient. Coefficient: 0=x², 1=x, 2=constant: x² coefficient, x coefficient, Constant coefficient only. Example: A: 2 number, B: 3 number, C: 4 number, D: 5 number, Coefficient: 0=x², 1=x, 2=constant: 1 number gives 22 number. Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not
- Quadratic Discriminant from Coefficients Calculator
Quadratic Discriminant from Coefficients. Example: A: 1 number, B: -3 number, C: 2 number gives 1 number. Dimensionless coefficients with a>0; signed discriminant returned, no complex roots claim. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Quadratic Vertex X Coordinate from Coefficients Calculator
Quadratic Vertex X Coordinate from Coefficients. Example: A: 1 number, B: -6 number gives 3 number. Dimensionless quadratic ax²+bx+c with a>0; c does not affect vertex x. Returns x coordinate, no full symbolic vertex-form output. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Square of a Two-Term Binomial Value Calculator
Square of a Two-Term Binomial Value Calculator — change the supplied values to calculate square of a two-term binomial value.
- Sum of Two Quadratics Coefficient Calculator
Sum of Two Quadratics Coefficient Calculator — change the supplied values to calculate sum of two quadratics coefficient.
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