8/x-1/2x=5

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Solution for 8/x-1/2x=5 equation: 


D( x )

x = 0

x = 0

x = 0

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

8/x-((1/2)*x) = 5 // - 5

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

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

8*x^-1-1/2*x^1-5*x^0 = 0

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

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

x^1

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

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

DELTA = (-5)^2-(4*8*(-1/2))

DELTA = 41

DELTA > 0

x = (41^(1/2)+5)/(2*(-1/2)) or x = (5-41^(1/2))/(2*(-1/2))

x = -(41^(1/2)+5) or x = 41^(1/2)-5

x in { -(41^(1/2)+5), 41^(1/2)-5} 

x in { -(41^(1/2)+5), 41^(1/2)-5 }

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