5x^2/3-39x^1/3-8=0

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Solution for 5x^2/3-39x^1/3-8=0 equation: 


x in (-oo:+oo)

(5*x^2)/3-((39*x^1)/3)-8 = 0

(5*x^2)/3-13*x-8 = 0

5/3*x^2-13*x-8 = 0

DELTA = (-13)^2-(-8*5/3*4)

DELTA = 667/3

DELTA > 0

x = ((667/3)^(1/2)+13)/(5/3*2) or x = (13-(667/3)^(1/2))/(5/3*2)

x = 3/10*((667/3)^(1/2)+13) or x = 3/10*(13-(667/3)^(1/2))

x in { 3/10*(13-(667/3)^(1/2)), 3/10*((667/3)^(1/2)+13) }

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