y=1/2(x-2)(x+11)

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Solution for y=1/2(x-2)(x+11) equation: 


x in (-oo:+oo)

y = (1/2)*(x-2)*(x+11) // - (1/2)*(x-2)*(x+11)

y-((1/2)*(x-2)*(x+11)) = 0

(-1/2)*(x-2)*(x+11)+y = 0

y-1/2*(x-2)*(x+11) = 0

y-1/2*(x-2)*(x+11) = 0

y-1/2*x^2-9/2*x+11 = 0

y-1/2*x^2-9/2*x+11 = 0

y-1/2*x^2-9/2*x+11 = 0

DELTA = (-9/2)^2-(-1/2*4*(y+11))

DELTA = 2*(y+11)+81/4

2*(y+11)+81/4 = 0

(2*4*(y+11))/4+81/4 = 0

2*4*(y+11)+81 = 0

8*y+169 = 0

(8*y+169)/4 = 0

(8*y+169)/4 = 0 // * 4

8*y+169 = 0

8*y+169 = 0 // - 169

8*y = -169 // : 8

y = -169/8

DELTA = 0  <=>  t_3 = -169/8

x = 9/2/(-1/2*2) i y = -169/8

x = -9/2 i y = -169/8

( x = ((2*(y+11)+81/4)^(1/2)+9/2)/(-1/2*2) or x = (9/2-(2*(y+11)+81/4)^(1/2))/(-1/2*2) ) i y > -169/8

( x = -((2*(y+11)+81/4)^(1/2)+9/2) or x = (2*(y+11)+81/4)^(1/2)-9/2 ) i y > -169/8

y-(-169/8) > 0

y+169/8 > 0

y+169/8 > 0 // - 169/8

y > -169/8

x in { -9/2, -((2*(y+11)+81/4)^(1/2)+9/2), (2*(y+11)+81/4)^(1/2)-9/2 }

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