3/20x=6/x

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Solution for 3/20x=6/x equation:


D( x )

x = 0

x = 0

x = 0

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

(3/20)*x = 6/x // - 6/x

(3/20)*x-(6/x) = 0

(3/20)*x-6*x^-1 = 0

3/20*x^1-6*x^-1 = 0

(3/20*x^2-6*x^0)/(x^1) = 0 // * x^2

x^1*(3/20*x^2-6*x^0) = 0

x^1

(3/20)*x^2-6 = 0

(3/20)*x^2-6 = 0

DELTA = 0^2-(-6*4*(3/20))

DELTA = 18/5

DELTA > 0

x = ((18/5)^(1/2)+0)/(2*(3/20)) or x = (0-(18/5)^(1/2))/(2*(3/20))

x = 10/3*(18/5)^(1/2) or x = 10/3*(18/5)^(1/2)

x in { 10/3*(18/5)^(1/2), 10/3*(18/5)^(1/2)}

x in { 10/3*(18/5)^(1/2), 10/3*(18/5)^(1/2) }

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