x^2-(8/3)x+c

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Solution for x^2-(8/3)x+c equation: 


x in (-oo:+oo)

c+x^2-((8/3)*x) = 0

c+x^2+(-8/3)*x = 0

c+x^2-8/3*x = 0

DELTA = (-8/3)^2-(1*4*c)

DELTA = 64/9-4*c

64/9-4*c = 0

64/9-4*c = 0 // - 64/9

-4*c = -64/9 // : -4

c = -64/9/(-4)

c = 16/9

DELTA = 0  <=>  t_1 = 16/9

x = 8/3/(1*2) i c = 16/9

x = 4/3 i c = 16/9

( x = ((64/9-4*c)^(1/2)+8/3)/(1*2) or x = (8/3-(64/9-4*c)^(1/2))/(1*2) ) i c > 16/9

( x = ((64/9-4*c)^(1/2)+8/3)/2 or x = (8/3-(64/9-4*c)^(1/2))/2 ) i c > 16/9

c-16/9 > 0

c-16/9 > 0 // + 16/9

c > 16/9

x in { 4/3, ((64/9-4*c)^(1/2)+8/3)/2, (8/3-(64/9-4*c)^(1/2))/2 }

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