x^2+5/3x=8

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Solution for x^2+5/3x=8 equation: 


x in (-oo:+oo)

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

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

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

DELTA = (5/3)^2-(-8*1*4)

DELTA = 313/9

DELTA > 0

x = ((313/9)^(1/2)-5/3)/(1*2) or x = (-(313/9)^(1/2)-5/3)/(1*2)

x = ((313/9)^(1/2)-5/3)/2 or x = (-((313/9)^(1/2)+5/3))/2

x in { (-((313/9)^(1/2)+5/3))/2, ((313/9)^(1/2)-5/3)/2 }

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