25/x=x/16

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Solution for 25/x=x/16 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

25/x-(x/16) = 0

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

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

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

x^1

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

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

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

DELTA = 25/4

DELTA > 0

x = ((25/4)^(1/2)+0)/(2*(-1/16)) or x = (0-(25/4)^(1/2))/(2*(-1/16))

x = -20 or x = 20

x in { -20, 20} 

x in { -20, 20 }

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