4x+8/x-5=8

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Solution for 4x+8/x-5=8 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x+8/x-5 = 8 // - 8

4*x+8/x-8-5 = 0

4*x^1+8*x^-1-13*x^0 = 0

(4*x^2-13*x^1+8*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-13*x^1+8*x^0) = 0

x^1

4*x^2-13*x+8 = 0

4*x^2-13*x+8 = 0

DELTA = (-13)^2-(4*4*8)

DELTA = 41

DELTA > 0

x = (41^(1/2)+13)/(2*4) or x = (13-41^(1/2))/(2*4)

x = (41^(1/2)+13)/8 or x = (13-41^(1/2))/8

x in { (13-41^(1/2))/8, (41^(1/2)+13)/8} 

x in { (13-41^(1/2))/8, (41^(1/2)+13)/8 }

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