Post date: Jan 15, 2012 2:48:20 PM
PARA SINGS 04
ax2 + bx + c presents....
"Call Her Sextic"
(*aka "Call Me Maybe", Carly Rae Jepson)
I found the Linears bland,
Quadratics not very grand,
Cubics I critically panned,
I didn't know Galois
Quartics were more of the same,
Math was such an easy game,
Quintics I started to flame,
I didn't know Galois
Next, this is sublime,
We can't solve all the time,
Nets, sets, interest did climb
When did theory get so hectic?
[Chorus:]
Hey, I just met her
But she's eclectic!
So there's her numbers,
We call her Sextic.
x6 – 14x4 + 49x2 – 36
Her field's in groups now,
Which is epic!
So there's her numbers,
We call her Sextic.
(x2 – 9)(x4 – 5x2 + 4)
Hey, I just met her,
But she's eclectic!
So there's her numbers,
We call her Sextic.
(x2 – 9)(x2 – 4)(x2 – 1)
And some use other names,
Ones like hexic!
So there's her numbers,
We call her Sextic.
x = ±3 ; x = ±2 ; x = ±1
***
It was a radical move,
To permute roots, I approve,
A lot of math we improve,
That's if you know Galois
Think degree six is the best,
Theory works on the rest,
To try it I would suggest,
You get to know Galois
Next, this is sublime,
We can't solve all the time,
Nets, sets, interest did climb
When did theory get so hectic?
[Chorus:]
Hey, I just met her
But she's eclectic!
So there's her numbers,
We call her Sextic.
x6 – 2x5 – 7x4 + 12x3 + 7x2 – 2x – 1
Her field's in groups now,
Which is epic!
So there's her numbers,
We call her Sextic.
(x2 – 2x – 1)(x4 – 6x2 + 1)
Hey, I just met her,
But she's eclectic!
So there's her numbers,
We call her Sextic.
(x2 – 2x – 1)(x2 + 2.83 x2 + 1)(x2 – 2.83 x2 + 1)
And some use other names,
Ones like hexic!
So there's her numbers,
We call her Sextic.
x = 1±1.41 ; x = 1.41±1 ; x = -1.41±1
***
Until she stretched out my limits
I didn't know math
I didn't know math
I didn't know pure math
Until she stretched out my limits
I didn't know math
Gave me a new path
I didn't know pure math
[Chorus:]
Her field's in groups now,
Which is epic!
So there's her numbers,
We call her Sextic.
x6 + 2x5 + 3x4 + x3 + 5x2 + 4x + 12
Hey, I just met her,
But she's eclectic!
So there's her numbers,
We call her Sextic.
(x2 + x + 2)(x4 + x3 – x + 6)
And some use other names,
Ones like hexic!
So there's her numbers,
We call her Sextic.
x = .5±1.32i ; x = -1.41±1.16i ; x = 0.91±0.98i
***
Until she stretched out my limits
I didn't know math
I didn't know math
I didn't know pure math
Until she stretched out my limits
I didn't know math
Gave me a new path...
We call her Sextic!