3/4x-5/x

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Solution for 3/4x-5/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(3/4)*x-(5/x) = 0

(3/4)*x-5*x^-1 = 0

3/4*x^1-5*x^-1 = 0

(3/4*x^2-5*x^0)/(x^1) = 0 // * x^2

x^1*(3/4*x^2-5*x^0) = 0

x^1

(3/4)*x^2-5 = 0

(3/4)*x^2-5 = 0

DELTA = 0^2-(-5*4*(3/4))

DELTA = 15

DELTA > 0

x = (15^(1/2)+0)/(2*(3/4)) or x = (0-15^(1/2))/(2*(3/4))

x = 2/3*15^(1/2) or x = 2/3*15^(1/2)

x in { 2/3*15^(1/2), 2/3*15^(1/2)} 

x in { 2/3*15^(1/2), 2/3*15^(1/2) }

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