x^2-4/9x+c=4/81

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Solution for x^2-4/9x+c=4/81 equation: 


x in (-oo:+oo)

c+x^2-((4/9)*x) = 4/81 // - 4/81

c+x^2-((4/9)*x)-(4/81) = 0

c+x^2+(-4/9)*x-4/81 = 0

c+x^2-4/9*x-4/81 = 0

DELTA = (-4/9)^2-(1*4*(c-4/81))

DELTA = 16/81-4*(c-4/81)

16/81-4*(c-4/81) = 0

(-4*81*(c-4/81))/81+16/81 = 0

16-4*81*(c-4/81) = 0

32-324*c = 0

(32-324*c)/81 = 0

(32-324*c)/81 = 0 // * 81

32-324*c = 0

32-324*c = 0 // - 32

-324*c = -32 // : -324

c = -32/(-324)

c = 8/81

DELTA = 0  <=>  t_1 = 8/81

x = 4/9/(1*2) i c = 8/81

x = 2/9 i c = 8/81

( x = ((16/81-4*(c-4/81))^(1/2)+4/9)/(1*2) or x = (4/9-(16/81-4*(c-4/81))^(1/2))/(1*2) ) i c > 8/81

( x = ((16/81-4*(c-4/81))^(1/2)+4/9)/2 or x = (4/9-(16/81-4*(c-4/81))^(1/2))/2 ) i c > 8/81

c-8/81 > 0

c-8/81 > 0 // + 8/81

c > 8/81

x in { 2/9, ((16/81-4*(c-4/81))^(1/2)+4/9)/2, (4/9-(16/81-4*(c-4/81))^(1/2))/2 }

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