2/3x^2-4/3x=5/6

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Solution for 2/3x^2-4/3x=5/6 equation:


x in (-oo:+oo)

(2/3)*x^2-((4/3)*x) = 5/6 // - 5/6

(2/3)*x^2-((4/3)*x)-(5/6) = 0

(2/3)*x^2+(-4/3)*x-5/6 = 0

2/3*x^2-4/3*x-5/6 = 0

DELTA = (-4/3)^2-(-5/6*2/3*4)

DELTA = 4

DELTA > 0

x = (4^(1/2)+4/3)/(2/3*2) or x = (4/3-4^(1/2))/(2/3*2)

x = 5/2 or x = -1/2

x in { -1/2, 5/2 }

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