1/2x^2-5x+2x=2/3

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Solution for 1/2x^2-5x+2x=2/3 equation: 


x in (-oo:+oo)

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

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

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

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

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

DELTA = 31/3

DELTA > 0

x = ((31/3)^(1/2)+3)/(1/2*2) or x = (3-(31/3)^(1/2))/(1/2*2)

x = (31/3)^(1/2)+3 or x = 3-(31/3)^(1/2)

x in { 3-(31/3)^(1/2), (31/3)^(1/2)+3 }

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