Tag Archives: Cubic

Solving Quadratic, Cubic, Quartic and higher order equations; examples

A previous post presented a spreadsheet with functions for solving cubic and quartic equations, and this has been extended with another function solving higher order polynomials.  The functions are actually very easy to use, but the documentation in the spreadsheets is quite brief, … Continue reading

Posted in Arrays, Excel, Link to Python, Maths, Newton, UDFs, VBA | Tagged , , , , , , , , , | 11 Comments

Python for VBA users – 5; Using built in numpy functions

Previous Python Post In previous posts in this series I have looked at translating VBA functions to solve quadratic and cubic equations, but the Python numpy library has a polyroots function that will solve polynomials of any degree, and will … Continue reading

Posted in Arrays, Excel, Link to Python, Maths, Newton, NumPy and SciPy, UDFs, VBA | Tagged , , , , , , , , , , , | 5 Comments

Polynomial Update

Following a comment here: Solving cubic and quartic equations with Excel the Quartic and CubicC User Defined Functions (UDFs) have been amended to fix a problem occurring with some combinations of coefficients. The updated spreadsheet (including full open source code) can be … Continue reading

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Daily Download 19: Solving polynomials

Today’s download provides analytic solutions to polynomial equations up to fourth order (that is quadratic, cubic and quartic equations) and an iterative method to solve equations of higher order.  All these functions are found in the download file: http://interactiveds.com.au/software/Polynomial.zip The … Continue reading

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Complex Numbers and Solving Quartic Polynomial Equations

It was recently pointed out to me that the User Defined Function (UDF) for solving quartic polynomial equations presented in this post returned an error for some input values.  In tracking down the source of the error I decided that it … Continue reading

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Solving cubic and quartic equations with Excel

Although in earlier posts (such as this one) I have referred to some User Defined Functions (UDFs)  for solving cubic and quartic equations, I just realised recently that I haven’t actually talked about them here, and since they are in … Continue reading

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Approximate Solutions of Polynomial Equations

Following on from the previous post, this post presents a number of methods of solving polynomial equations using approximate iterative methods in Excel.  Similar methods can be used to find solutions to any other equation that can be evaluated numerically. … Continue reading

Posted in Excel, Maths, Newton, UDFs, VBA | Tagged , , , , , , | 3 Comments