(9/x)=(x/16)

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Solution for (9/x)=(x/16) equation: 


D( x )

x = 0

x = 0

x = 0

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

9/x = x/16 // - x/16

9/x-(x/16) = 0

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

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

x^1*(9*x^0-1/16*x^2) = 0

x^1

(-1/16)*x^2+9 = 0

(-1/16)*x^2+9 = 0

DELTA = 0^2-(4*9*(-1/16))

DELTA = 9/4

DELTA > 0

x = ((9/4)^(1/2)+0)/(2*(-1/16)) or x = (0-(9/4)^(1/2))/(2*(-1/16))

x = -12 or x = 12

x in { -12, 12} 

x in { -12, 12 }

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