-3/x+6/5x=3

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 117/5

DELTA > 0

x = ((117/5)^(1/2)+3)/(2*(6/5)) or x = (3-(117/5)^(1/2))/(2*(6/5))

x = 5/12*((117/5)^(1/2)+3) or x = 5/12*(3-(117/5)^(1/2))

x in { 5/12*(3-(117/5)^(1/2)), 5/12*((117/5)^(1/2)+3)}

x in { 5/12*(3-(117/5)^(1/2)), 5/12*((117/5)^(1/2)+3) }

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