6+5/x=x+2

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Solution for 6+5/x=x+2 equation: 


D( x )

x = 0

x = 0

x = 0

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

5/x+6 = x+2 // - x+2

5/x-x-2+6 = 0

5*x^-1-1*x^1+4*x^0 = 0

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

x^1*(4*x^1-1*x^2+5*x^0) = 0

x^1

4*x-x^2+5 = 0

4*x-x^2+5 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)-4)/(-1*2) or x = (-36^(1/2)-4)/(-1*2)

x = -1 or x = 5

x in { -1, 5} 

x in { -1, 5 }

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