3x-8=16/x

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Solution for 3x-8=16/x equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-8 = 16/x // - 16/x

3*x-(16/x)-8 = 0

3*x-16*x^-1-8 = 0

3*x^1-16*x^-1-8*x^0 = 0

(3*x^2-8*x^1-16*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-8*x^1-16*x^0) = 0

x^1

3*x^2-8*x-16 = 0

3*x^2-8*x-16 = 0

DELTA = (-8)^2-(-16*3*4)

DELTA = 256

DELTA > 0

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

x = 4 or x = -4/3

x in { -4/3, 4} 

x in { -4/3, 4 }

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