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X Factor?
"You complete me" - the square
I've got a formula for that
"Honey, where are my roots?"
100

y = 3x2 - 9x

y = 3x(x - 3)

100

0 = x2 + 8x + 7

(x + 4)2 = 9

x = -1, -7

100

g(x) = x2 - 4x -21

x = 7, -3

100

(x - 7)(x + 2) = 0

 x = -2, 7

200

f(x) = x2 - 4x + 4

f(x) = (x - 2)2

200

x2 + 5x = 3

(x + 5/2)2 = 55/2

x = (-5 ± √37)/2

200

p(X) = x2 - 6x + 2

x = 3 ± √7

200

x2 - 2x - 3 = 0

x = 1, -3

300

p(x) = x2 - x +56

p(x) = (x - 8)(x + 7)

300

0 = x2 + 6x +5

(x + 3)2 = 4

x = -1, -5

300

h(x) = x2 + 1

No Solution (x = ± i)

300

x2 + 7x -8

x = 1, -7

400

g(x) = x2 - 7x + 12

g(x) = (x - 3)(x - 4)

400

0 = x2 + 10x - 11

(x + 5)2 = 36

x = 1, -11

400

f(x) = 3x2 + 2x - 5

x = 1, -5/3

400

x2 - 11x - 242 = 0

x = -11, 22

500

h(x) = 3x2 - 6x - 9

h(x) = 3(x - 3)(x + 1)

500

0 = 2x2 - 12x -5

(x - 3)2 = 23/2

x = 3 ± (√46)/2

500

4x2 - 5 =3 2x - 2

x = (1 ± √13)/4

500

(x + 3)2 + 10 = 0

No Real Zeros