4x^2/3=3x^1/3+1

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Solution for 4x^2/3=3x^1/3+1 equation: 


x in (-oo:+oo)

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

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

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

4/3*x^2-x-1 = 0

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

DELTA = 19/3

DELTA > 0

x = ((19/3)^(1/2)+1)/(4/3*2) or x = (1-(19/3)^(1/2))/(4/3*2)

x = 3/8*((19/3)^(1/2)+1) or x = 3/8*(1-(19/3)^(1/2))

x in { 3/8*(1-(19/3)^(1/2)), 3/8*((19/3)^(1/2)+1) }

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