Write a function file that computes the roots of a quadratic using the form for x+ and x−1 that are least susceptible to cancellation error.

Write a function file that computes the roots of a quadratic using the form for x+ and x−1 that are least susceptible to cancellation error. Also write a script file to find the roots of

ax2 +bx+c=0

For reference, your function file will have the structure

function [xp,xm] = quadform(a,b,c)

if (b<0)

xp =

xm = else

xm =

xp = end

Calculate the roots for the following

a) a = 1;b = −105;c = 1.

[Matt J]

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Answer 1

[James Tursa]

Is this the type of formulae you are being asked to code?

https://people.csail.mit.edu/bkph/articles/Quadratics.pdf

https://stackoverflow.com/questions/48979861/numerically-stable-method-for-solving-quadratic-equations