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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 301/25

DELTA > 0

x = ((301/25)^(1/2)-(-1/5))/(2*(-3/2)) or x = (-(-1/5)-(301/25)^(1/2))/(2*(-3/2))

x = ((301/25)^(1/2)+1/5)/(-3) or x = (1/5-(301/25)^(1/2))/(-3)

x in { ((301/25)^(1/2)+1/5)/(-3), (1/5-(301/25)^(1/2))/(-3)}

x in { ((301/25)^(1/2)+1/5)/(-3), (1/5-(301/25)^(1/2))/(-3) }

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