4x-5/x+1=0

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Solution for 4x-5/x+1=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

4*x^2+x-5 = 0

4*x^2+x-5 = 0

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

DELTA = 81

DELTA > 0

x = (81^(1/2)-1)/(2*4) or x = (-81^(1/2)-1)/(2*4)

x = 1 or x = -5/4

x in { -5/4, 1} 

x in { -5/4, 1 }

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