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

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

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

DELTA = 361/81

DELTA > 0

x = ((361/81)^(1/2)+1/9)/(2/3*2) or x = (1/9-(361/81)^(1/2))/(2/3*2)

x = 5/3 or x = -3/2

x in { -3/2, 5/3 }

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