3/x=5/2x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 30

DELTA > 0

x = (30^(1/2)+0)/(2*(-5/2)) or x = (0-30^(1/2))/(2*(-5/2))

x = (30^(1/2))/(-5) or x = (30^(1/2))/5

x in { (30^(1/2))/(-5), (30^(1/2))/5} 

x in { (30^(1/2))/(-5), (30^(1/2))/5 }

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