(2/3x)^2-(1/9x)=(5/3)

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Solution for (2/3x)^2-(1/9x)=(5/3) equation: 


x in (-oo:+oo)

((2/3)*x)^2-((1/9)*x) = 5/3 // - 5/3

((2/3)*x)^2-((1/9)*x)-(5/3) = 0

((2/3)*x)^2+(-1/9)*x-5/3 = 0

4/9*x^2-1/9*x-5/3 = 0

DELTA = (-1/9)^2-(-5/3*4/9*4)

DELTA = 241/81

DELTA > 0

x = ((241/81)^(1/2)+1/9)/(4/9*2) or x = (1/9-(241/81)^(1/2))/(4/9*2)

x = 9/8*((241/81)^(1/2)+1/9) or x = 9/8*(1/9-(241/81)^(1/2))

x in { 9/8*(1/9-(241/81)^(1/2)), 9/8*((241/81)^(1/2)+1/9) }

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