9/x=x/25

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Solution for 9/x=x/25 equation: 


D( x )

x = 0

x = 0

x = 0

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

9/x = x/25 // - x/25

9/x-(x/25) = 0

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

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

x^1*(9*x^0-1/25*x^2) = 0

x^1

(-1/25)*x^2+9 = 0

(-1/25)*x^2+9 = 0

DELTA = 0^2-(4*9*(-1/25))

DELTA = 36/25

DELTA > 0

x = ((36/25)^(1/2)+0)/(2*(-1/25)) or x = (0-(36/25)^(1/2))/(2*(-1/25))

x = -15 or x = 15

x in { -15, 15} 

x in { -15, 15 }

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