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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 30

DELTA > 0

x = (30^(1/2)+5)/(2*(5/4)) or x = (5-30^(1/2))/(2*(5/4))

x = 2/5*(30^(1/2)+5) or x = 2/5*(5-30^(1/2))

x in { 2/5*(5-30^(1/2)), 2/5*(30^(1/2)+5)} 

x in { 2/5*(5-30^(1/2)), 2/5*(30^(1/2)+5) }

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