Hearted Youtube comments on Mathologer (@Mathologer) channel.
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I came up with a poem of my own for the cubic formula:
x^3 + n*x = m
x = cbrt(m/2 + sqrt(D)) + cbrt(m/2 - sqrt(D))
D = (m/2)^2 + (n/3)^3
When x cubed and x times n,
Are added and equal to m.
The values of x,
The goals of our quest,
Here's how to calculate them.
Cube roots to add,
Square roots they had,
Both of a term we'll call D.
Square half of m,
Cube third of n,
Add together and see.
Half of m, adds to the root,
First with a sign of plus.
Its little brother,
Is just like the other,
Except with a sign of minus.
Cube rooting time, of both the brothers,
Add up the roots with glee.
We found our first x,
But where is the next?
I know there have to be three.
With help from DeMoivre,
Who's theorem, we love ya,
There's cube roots all over the plane
Yes, they're complex,
But do not perplex,
A new kind of numbers we gain.
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