3x=(75/x)

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Solution for 3x=(75/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x = 75/x // - 75/x

3*x-(75/x) = 0

3*x-75*x^-1 = 0

3*x^1-75*x^-1 = 0

(3*x^2-75*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-75*x^0) = 0

x^1

3*x^2-75 = 0

3*x^2-75 = 0

DELTA = 0^2-(-75*3*4)

DELTA = 900

DELTA > 0

x = (900^(1/2)+0)/(2*3) or x = (0-900^(1/2))/(2*3)

x = 5 or x = -5

x in { -5, 5} 

x in { -5, 5 }

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