y=-8/27(x^2-9x)

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Solution for y=-8/27(x^2-9x) equation: 


x in (-oo:+oo)

y = (-8/27)*(x^2-(9*x)) // - (-8/27)*(x^2-(9*x))

y-((-8/27)*(x^2-(9*x))) = 0

(8/27)*(x^2-9*x)+y = 0

8/27*(x^2-9*x)+y = 0

8/27*(x^2-9*x)+y = 0

8/27*x^2-8/3*x+y = 0

8/27*x^2-8/3*x+y = 0

8/27*x^2-8/3*x+y = 0

DELTA = (-8/3)^2-(8/27*4*y)

DELTA = 64/9-32/27*y

64/9-32/27*y = 0

64/9-32/27*y = 0 // - 64/9

-32/27*y = -64/9 // : -32/27

y = -64/9/(-32/27)

y = 6

DELTA = 0  <=>  t_3 = 6

x = 8/3/(8/27*2) i y = 6

x = 9/2 i y = 6

( x = ((64/9-32/27*y)^(1/2)+8/3)/(8/27*2) or x = (8/3-(64/9-32/27*y)^(1/2))/(8/27*2) ) i y > 6

( x = 27/16*((64/9-32/27*y)^(1/2)+8/3) or x = 27/16*(8/3-(64/9-32/27*y)^(1/2)) ) i y > 6

y-6 > 0

y-6 > 0 // + 6

y > 6

x in { 9/2, 27/16*((64/9-32/27*y)^(1/2)+8/3), 27/16*(8/3-(64/9-32/27*y)^(1/2)) }

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