4/x+8=4/3x

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Solution for 4/x+8=4/3x equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x+8 = (4/3)*x // - (4/3)*x

4/x-((4/3)*x)+8 = 0

(-4/3)*x+4/x+8 = 0

4*x^-1-4/3*x^1+8*x^0 = 0

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

x^1*(8*x^1-4/3*x^2+4*x^0) = 0

x^1

(-4/3)*x^2+8*x+4 = 0

(-4/3)*x^2+8*x+4 = 0

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

DELTA = 256/3

DELTA > 0

x = ((256/3)^(1/2)-8)/(2*(-4/3)) or x = (-(256/3)^(1/2)-8)/(2*(-4/3))

x = -3/8*((256/3)^(1/2)-8) or x = 3/8*((256/3)^(1/2)+8)

x in { -3/8*((256/3)^(1/2)-8), 3/8*((256/3)^(1/2)+8)} 

x in { -3/8*((256/3)^(1/2)-8), 3/8*((256/3)^(1/2)+8) }

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