6/x=x/150

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Solution for 6/x=x/150 equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x = x/150 // - x/150

6/x-(x/150) = 0

6*x^-1-1/150*x^1 = 0

(6*x^0-1/150*x^2)/(x^1) = 0 // * x^2

x^1*(6*x^0-1/150*x^2) = 0

x^1

(-1/150)*x^2+6 = 0

(-1/150)*x^2+6 = 0

DELTA = 0^2-(4*6*(-1/150))

DELTA = 4/25

DELTA > 0

x = ((4/25)^(1/2)+0)/(2*(-1/150)) or x = (0-(4/25)^(1/2))/(2*(-1/150))

x = -30 or x = 30

x in { -30, 30} 

x in { -30, 30 }

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