3/5x+3/x-6

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Solution for 3/5x+3/x-6 equation:


D( x )

x = 0

x = 0

x = 0

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

(3/5)*x+3/x-6 = 0

3/5*x^1+3*x^-1-6*x^0 = 0

(3/5*x^2-6*x^1+3*x^0)/(x^1) = 0 // * x^2

x^1*(3/5*x^2-6*x^1+3*x^0) = 0

x^1

(3/5)*x^2-6*x+3 = 0

(3/5)*x^2-6*x+3 = 0

DELTA = (-6)^2-(3*4*(3/5))

DELTA = 144/5

DELTA > 0

x = ((144/5)^(1/2)+6)/(2*(3/5)) or x = (6-(144/5)^(1/2))/(2*(3/5))

x = 5/6*((144/5)^(1/2)+6) or x = 5/6*(6-(144/5)^(1/2))

x in { 5/6*(6-(144/5)^(1/2)), 5/6*((144/5)^(1/2)+6)}

x in { 5/6*(6-(144/5)^(1/2)), 5/6*((144/5)^(1/2)+6) }

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