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DOCUMENTS
CALCULATIONS
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Pipe Calculations ▾
Pipe Friction Loss Calculation
Heating Pipe Pressure Loss Calculation
Steam Pipe Calculation
Potable Water Pressure Loss Calculation
Waste Water Pipe Calculation
Chimney Calculation ▾
Chimneys serving one appliance
Chimneys Serving Multiple Appliance
Air Ducts ▾
Air Duct Calculation
Flexible Air Duct Calculation
Air Grille Calculation
Diffuser Selection
Elbows ▾
Elbow Pressure Loss Calc.
Elbow, Smooth Radius, Splitter Vane
Air Duct Tee Loss ▸
45° EntryBranch,Diverging
Rect. Main to Round Tap,Diverging
Rectangular Cross, Diverging
Rectangular Wye, Diverging
Heel-Tapped Elbow, 90 Degree
45° Entry Branch, Converging
Round Tap to Rect. Main, Converging
Cross of the Type As = Ac, Converging
Reduction Transition ▸
Rect., Two Sides Parallel, Symmetrical
Round to Rectangular
Pyramidal, Exhaust/Return Systems
Rect., Two Sides Parallel, Symmetrical
Air Conditioning ▾
Psychrometric Chart Plot
Psychrometric Diagram Parameters
Gas Calculation ▾
Gas Pipe Sizing
Gas Flow Unit Convert
Two-Phase (Solid–Liquid) Flow
EQUATIONS
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Equation Solution ▾
Nonlinear Equation System Roots
Cubic Equation Solution
Quartic Equation Solution
Quintic Equation Solution
Sextic Equation Solution
Differential Equations ▾
Differential Equation Solution
Higher Order Differential Equation
Systems of First Order Differential Eq.
Systems of nth Order Differential Equations
UNIT CONVERSION
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Length, Area and Volume Units ▾
Distance and length conversion
Area conversion
Volume conversion
Force, Weight and Mass Units ▾
Weight and Force Converter
Mass Converter
Density Conversion
Specific Volume Conversion
Moment of Inertia Conv. (Mass)
Second Moment of Area
Mol Conversion
Pressure, Energy, Power Units ▾
Pressure Conversion
Energy and Work Conversion
Power Conversion
Torque Conversion
Viscosity Units ▾
Dynamic Viscosity
Kinematic Viscosity
Temperature Units
Velocity and Flow Units ▾
Velocity Conversion
Velocity - Angular Conversion
Flow Conversion
Flow - Mass Conversion
Gas Flow Unit Conversion
Heat Units ▾
Thermal Conductivity Conversion
Heat Transfer Coefficient Conv.
Specific Heat Capacity Conversion
Heat Flux Density Conversion
Light Units ▾
Luminous Intensity Conversion
Luminance Conversion
Illumination Conversion
Electricity Units ▾
Current Conversion
Electric Potential Conversion
Charge Conversion
Electric Resistance Conversion
Electrostatic Capacitance Conv.
Magnetic Flux Conversion
Magnetic Flux Density Conversion
Inductance Conversion
Radiation - Activity Conversion
Radiation - Exposure Conversion
Other ▾
Dimension System Basic Units
CGS Units
USCS Units
CONTACT
Sixth-Degree Equation Solver
This tool computes all real and complex roots of a sixth-degree polynomial equation of the form \(\small{a x^6 + b x^5 + c x^4 + d x^3 + e x^2 + f x + g = 0}\), where the coefficients may be real or complex numbers.
Note 1:
The coefficient \(a\) must be non-zero (\(a \ne 0\)).
Note 2:
If a coefficient is a real number, enter its value in the first input box and set the second box to zero. If a coefficient is a complex number, write the real part in the first box and the imaginary part in the second box.
Coefficients
\(a=\)
+
\(i\)
\(b=\)
+
\(i\)
\(c=\)
+
\(i\)
\(d=\)
+
\(i\)
\(e=\)
+
\(i\)
\(f=\)
+
\(i\)
\(g=\)
+
\(i\)