6/10*x=12/x

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Solution for 6/10*x=12/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(6/10)*x = 12/x // - 12/x

(6/10)*x-(12/x) = 0

(6/10)*x-12*x^-1 = 0

3/5*x^1-12*x^-1 = 0

(3/5*x^2-12*x^0)/(x^1) = 0 // * x^2

x^1*(3/5*x^2-12*x^0) = 0

x^1

(3/5)*x^2-12 = 0

(3/5)*x^2-12 = 0

DELTA = 0^2-(-12*4*(3/5))

DELTA = 144/5

DELTA > 0

x = ((144/5)^(1/2)+0)/(2*(3/5)) or x = (0-(144/5)^(1/2))/(2*(3/5))

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

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

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

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