16/x=x/25

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Solution for 16/x=x/25 equation: 


D( x )

x = 0

x = 0

x = 0

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

16/x = x/25 // - x/25

16/x-(x/25) = 0

16*x^-1-1/25*x^1 = 0

(16*x^0-1/25*x^2)/(x^1) = 0 // * x^2

x^1*(16*x^0-1/25*x^2) = 0

x^1

(-1/25)*x^2+16 = 0

(-1/25)*x^2+16 = 0

DELTA = 0^2-(4*16*(-1/25))

DELTA = 64/25

DELTA > 0

x = ((64/25)^(1/2)+0)/(2*(-1/25)) or x = (0-(64/25)^(1/2))/(2*(-1/25))

x = -20 or x = 20

x in { -20, 20} 

x in { -20, 20 }

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