3/x-2=8x

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Solution for 3/x-2=8x equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x-2 = 8*x // - 8*x

3/x-(8*x)-2 = 0

3/x-8*x-2 = 0

3*x^-1-8*x^1-2*x^0 = 0

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

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

x^1

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

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

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

DELTA = 100

DELTA > 0

x = (100^(1/2)+2)/(-8*2) or x = (2-100^(1/2))/(-8*2)

x = -3/4 or x = 1/2

x in { -3/4, 1/2} 

x in { -3/4, 1/2 }

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