2/x-1/5x=3/3x-3

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Solution for 2/x-1/5x=3/3x-3 equation:


D( x )

x = 0

x = 0

x = 0

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

2/x-((1/5)*x) = (3/3)*x-3 // - (3/3)*x-3

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

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

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

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

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

x^1

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

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

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

DELTA = 93/5

DELTA > 0

x = ((93/5)^(1/2)-3)/(2*(-6/5)) or x = (-(93/5)^(1/2)-3)/(2*(-6/5))

x = -5/12*((93/5)^(1/2)-3) or x = 5/12*((93/5)^(1/2)+3)

x in { -5/12*((93/5)^(1/2)-3), 5/12*((93/5)^(1/2)+3)}

x in { -5/12*((93/5)^(1/2)-3), 5/12*((93/5)^(1/2)+3) }

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