9/11=x-5/x-10

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Solution for 9/11=x-5/x-10 equation: 


D( x )

x = 0

x = 0

x = 0

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

9/11 = x-(5/x)-10 // - x-(5/x)-10

5/x-x+9/11+10 = 0

5*x^-1-1*x^1+119/11*x^0 = 0

(119/11*x^1-1*x^2+5*x^0)/(x^1) = 0 // * x^2

x^1*(119/11*x^1-1*x^2+5*x^0) = 0

x^1

(119/11)*x-x^2+5 = 0

(119/11)*x-x^2+5 = 0

DELTA = (119/11)^2-(-1*4*5)

DELTA = 16581/121

DELTA > 0

x = ((16581/121)^(1/2)-(119/11))/(-1*2) or x = (-(119/11)-(16581/121)^(1/2))/(-1*2)

x = ((16581/121)^(1/2)-119/11)/(-2) or x = ((16581/121)^(1/2)+119/11)/2

x in { ((16581/121)^(1/2)-119/11)/(-2), ((16581/121)^(1/2)+119/11)/2} 

x in { ((16581/121)^(1/2)-119/11)/(-2), ((16581/121)^(1/2)+119/11)/2 }

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