042 - Song EXPOse: "Cubic Formula"
Post date: Dec 22, 2016 7:46:27 PM
EXPONA SINGS 02
abx + c presents....
"Cubic Formula"
(*aka "I Will Follow Him", Sister Act)
--------
Song in Context (end of movie): YouTube Here
Karaoke Version: YouTube Here
This Cubic Song Parody: YouTube Here
About Using the Formula: Blog Post Here
*****
Start with b times c.
It’s on six a-squared, now minus d...
On 2a, then minus b-cubed
On twenty-seven with a-cubed.
Let’s call that q? Agreed.
Take cube root of q -
as ADDED inside of this square root...
q squared, once it’s summed to this cube:
c on 3a, minus squared-b
on 9 squared-a’s!
We’re nearly half-waaaaaay!
TEMPO CHANGE
That square root, you ADDED, we’ll use it,
But now we will SUBTRACT it, still from q, cube root too!
(SOLO:)
This gives two numbers.
Kind of six... look, sum the cubes you know.
Then minus b on 3 with a,
We’ll set that to x and hurray! Wait, what was q?
(We’ll get it, we’ll get it)
We took b times c (DUET: B times C!)
It’s on six a-squared, now minus d (Oooh ooh!)
On 2a, then minus b-cubed (B Cubed?!)
On twenty seven with a-cubed.
That we called q!
Used four times, it’s true!
(SOLO2:)
Whoa, yeah! Oh yes, solve cubics! (Degree three!)
Four coefficients! (Too much!)
Imaginary answers! (So complex!)
You’ll wish you’d learned to factor!
That square root, you ADDED, we’ll use it,
But now we will SUBTRACT it, still from q, cube root too!
Gives numbers, so get their sum, minus b, on 3a,
Set that to x at leisure, or never, whateverrrr...
If you think that’s only one x,
Remember cube roots of complex!
Gives us all three!
All three solutiooooooons!
