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^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 = 9

DELTA > 0

x = (9^(1/2)+5)/(2*4) or x = (5-9^(1/2))/(2*4)

x = 1 or x = 1/4

x in { 1/4, 1} 

x in { 1/4, 1 }

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