4x-1/x+5

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Solution for 4x-1/x+5 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x-(1/x)+5 = 0

4*x-x^-1+5 = 0

4*x^1-1*x^-1+5*x^0 = 0

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

x^1*(4*x^2+5*x^1-1*x^0) = 0

x^1

4*x^2+5*x-1 = 0

4*x^2+5*x-1 = 0

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

DELTA = 41

DELTA > 0

x = (41^(1/2)-5)/(2*4) or x = (-41^(1/2)-5)/(2*4)

x = (41^(1/2)-5)/8 or x = (-(41^(1/2)+5))/8

x in { (-(41^(1/2)+5))/8, (41^(1/2)-5)/8} 

x in { (-(41^(1/2)+5))/8, (41^(1/2)-5)/8 }

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