8x-5/x=39

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Solution for 8x-5/x=39 equation: 


D( x )

x = 0

x = 0

x = 0

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

8*x-(5/x) = 39 // - 39

8*x-(5/x)-39 = 0

8*x-5*x^-1-39 = 0

8*x^1-5*x^-1-39*x^0 = 0

(8*x^2-39*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(8*x^2-39*x^1-5*x^0) = 0

x^1

8*x^2-39*x-5 = 0

8*x^2-39*x-5 = 0

DELTA = (-39)^2-(-5*4*8)

DELTA = 1681

DELTA > 0

x = (1681^(1/2)+39)/(2*8) or x = (39-1681^(1/2))/(2*8)

x = 5 or x = -1/8

x in { -1/8, 5} 

x in { -1/8, 5 }

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