(4/x)-(x/9)=1

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Solution for (4/x)-(x/9)=1 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x-(x/9) = 1 // - 1

4/x-(x/9)-1 = 0

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

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

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

x^1

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

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

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

DELTA = 25/9

DELTA > 0

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

x = -12 or x = 3

x in { -12, 3} 

x in { -12, 3 }

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