10/x=6/5x

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Solution for 10/x=6/5x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

(-6/5)*x+10/x = 0

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

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

x^1*(10*x^0-6/5*x^2) = 0

x^1

(-6/5)*x^2+10 = 0

(-6/5)*x^2+10 = 0

DELTA = 0^2-(4*10*(-6/5))

DELTA = 48

DELTA > 0

x = (48^(1/2)+0)/(2*(-6/5)) or x = (0-48^(1/2))/(2*(-6/5))

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

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

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

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