x/5=2/-x-11

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Solution for x/5=2/-x-11 equation: 


D( x )

-x = 0

-x = 0

x = 0

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

x/5 = 2/(-x)-11 // - 2/(-x)-11

x/5-(2/(-x))+11 = 0

x/5+2*x^-1+11 = 0

1/5*x^1+2*x^-1+11*x^0 = 0

(1/5*x^2+11*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(1/5*x^2+11*x^1+2*x^0) = 0

x^1

(1/5)*x^2+11*x+2 = 0

(1/5)*x^2+11*x+2 = 0

DELTA = 11^2-(2*4*(1/5))

DELTA = 597/5

DELTA > 0

x = ((597/5)^(1/2)-11)/(2*(1/5)) or x = (-(597/5)^(1/2)-11)/(2*(1/5))

x = 5/2*((597/5)^(1/2)-11) or x = -5/2*((597/5)^(1/2)+11)

x in { -5/2*((597/5)^(1/2)+11), 5/2*((597/5)^(1/2)-11)} 

x in { -5/2*((597/5)^(1/2)+11), 5/2*((597/5)^(1/2)-11) }

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