1/2x^2=3x-2/9

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 77/9

DELTA > 0

x = ((77/9)^(1/2)+3)/(1/2*2) or x = (3-(77/9)^(1/2))/(1/2*2)

x = (77/9)^(1/2)+3 or x = 3-(77/9)^(1/2)

x in { 3-(77/9)^(1/2), (77/9)^(1/2)+3 }

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