(-4/x)+(9/9x)=2

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Solution for (-4/x)+(9/9x)=2 equation: 


D( x )

x = 0

x = 0

x = 0

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

(9/9)*x-4/x = 2 // - 2

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

1*x^1-4*x^-1-2*x^0 = 0

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

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

x^1

x^2-2*x-4 = 0

x^2-2*x-4 = 0

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

DELTA = 20

DELTA > 0

x = (20^(1/2)+2)/(1*2) or x = (2-20^(1/2))/(1*2)

x = (2*5^(1/2)+2)/2 or x = (2-2*5^(1/2))/2

x in { (2-2*5^(1/2))/2, (2*5^(1/2)+2)/2} 

x in { (2-2*5^(1/2))/2, (2*5^(1/2)+2)/2 }

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