23/3-10x/3-4/x=0

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Solution for 23/3-10x/3-4/x=0 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

23/3-((10*x)/3)-(4/x) = 0

(-10/3)*x-4*x^-1+23/3 = 0

23/3*x^0-10/3*x^1-4*x^-1 = 0

(23/3*x^1-10/3*x^2-4*x^0)/(x^1) = 0 // * x^2

x^1*(23/3*x^1-10/3*x^2-4*x^0) = 0

x^1

(-10/3)*x^2+(23/3)*x-4 = 0

(-10/3)*x^2+(23/3)*x-4 = 0

DELTA = (23/3)^2-(-4*4*(-10/3))

DELTA = 49/9

DELTA > 0

x = ((49/9)^(1/2)-(23/3))/(2*(-10/3)) or x = (-(23/3)-(49/9)^(1/2))/(2*(-10/3))

x = 4/5 or x = 3/2

x in { 4/5, 3/2} 

x in { 4/5, 3/2 }

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