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Quadratic Equation Calculator

This quadratic equation calculator can solve quartic equations in the form of ax^4 + bx+3 + cx^2 + dx + e = 0, , so if your equation is not in this form already, perform the necessary algebra to do so. Plug in the coefficients into each box. If the equation has a 'missing term' (for example, no X2 term), then enter it as a zero. Do not leave the field blank

Due to round-off errors, some answers may be slightly off.

This calculator computes real and complex roots for any quintic polynomial in the form of Ax5 + Bx4 + Cx3 + Dx2 + EX + F = 0 where A, B, C, D, E, and F are real numbers and A is non-zero. It applies the Newton-Raphson Method to iteratively find a root to the Quintic, starting out with a random initial guess. Then it factors the equation out to a linear and a quartic equation and then solves the left-over quartic equation for roots 2 through 5. The Newton-Raphson Method can occasionally run into division by zero issues. When this happens, the error message 'cannot solve, attempted division by 0' will occur. Since the initial guess is randomized each time the 'Calculate' button is pressed, another trial may result in a solution.  (Use this calculator for estimation purposes only.) 


x4 + x3 + x2 + x + = 0

x1: + i
x2: + i
x3: + i
x4: + i


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FREE Interactive Geometry Software Cinderella

Download Cinderella.2

You can download a free copy of Cinderella.2 here. If you buy a license you can use this license to personalize Cinderella with your name, but you can use all functions of Cinderella even without a license.

Current stable version is 2.9 build 1835 of 3/6/2016

Windows 95/98/NT/2000/XP/Vista/7
To install Cinderella on Windows platforms download and run the installer cindyinstall.exe. You will be guided through the installation process. Depending on your Windows version and the installed system software the installation process will vary.

Other Platforms To Install Cinderella

 

University-Level mathematics with an intuitive interface

No matter whether you are doing K-12 mathematics or you are into Projective or even Hyperbolic Geometry - Cinderella supports it natively. Internally, Cinderella uses a state-of-the-art Theoretical Background that combines all these into one. Paired with the continuity features based on analytic functions, you can be sure to learn mathematics, not software.

Teach and share

Cinderella is available for FREE. This makes it easy to provide all students and teachers with a legal copy of Cinderella that they may use in school and at home. And it runs on Windows, Mac OS X, Linux, and many other Unix variants.

Algebra and discrete mathematics, analysis, computational mathematics, operations research, mathematical statistics and probability, applied statistics and data science.

Clemson School of Mathematical and Statistical Sciences

Coordinated Course Information

Calculator Recommendations For Courses

 



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