ax ^{2} + bx + c presents...."Call Her Sextic" (*aka "Call Me Maybe", Carly Rae Jepson) -------- Song Lyric Reference: YouTube Here Official Music Video: YouTube Here 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 [Chorus:] Hey, I just met her But she's eclectic! So there's her numbers, We call her Sextic. x^{6} – 14x^{4} + 49x^{2} – 36Her field's in groups now, Which is epic! So there's her numbers, We call her Sextic. ( x^{2} – 9)(x^{4} – 5x^{2} + 4)
Hey, I just met her, But she's eclectic! So there's her numbers, We call her Sextic. ( x^{2} – 9)(x^{2} – 4)(x^{2} – 1)And some use other names, Ones like hexic! So there's her numbers, We call her Sextic. x = ±3 ; x = ±2 ; x = ±1*** 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 [Chorus:] Hey, I just met her But she's eclectic! So there's her numbers, We call her Sextic. x^{6} – 2x^{5} – 7x^{4}
+ 12x^{3} + 7x^{2} – 2x – 1Her field's in groups now, Which is epic! So there's her numbers, We call her Sextic. ( x^{2} – 2x – 1)(x^{4} – 6x^{2} + 1)Hey, I just met her, But she's eclectic! So there's her numbers, We call her Sextic. ( x^{2} – 2x – 1)(x^{2} + 2.83 x^{2}
+ 1)(x^{2} – 2.83 x^{2}
+ 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. x^{6} + 2x^{5} + 3x^{4}
+ x^{3} + 5x^{2} + 4x + 12Hey, I just met her, But she's eclectic! So there's her numbers, We call her Sextic. ( x^{2} + x + 2)(x^{4} + x^{3} – 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*** 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! |

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