81/x=x/16

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Solution for 81/x=x/16 equation: 


D( x )

x = 0

x = 0

x = 0

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

81/x = x/16 // - x/16

81/x-(x/16) = 0

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

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

x^1*(81*x^0-1/16*x^2) = 0

x^1

(-1/16)*x^2+81 = 0

(-1/16)*x^2+81 = 0

DELTA = 0^2-(4*81*(-1/16))

DELTA = 81/4

DELTA > 0

x = ((81/4)^(1/2)+0)/(2*(-1/16)) or x = (0-(81/4)^(1/2))/(2*(-1/16))

x = -36 or x = 36

x in { -36, 36} 

x in { -36, 36 }

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