5/6=b-5/b

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Solution for 5/6=b-5/b equation: 


D( b )

b = 0

b = 0

b = 0

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

5/6 = b-(5/b) // - b-(5/b)

5/b-b+5/6 = 0

5*b^-1-1*b^1+5/6*b^0 = 0

(5/6*b^1-1*b^2+5*b^0)/(b^1) = 0 // * b^2

b^1*(5/6*b^1-1*b^2+5*b^0) = 0

b^1

(5/6)*b-b^2+5 = 0

(5/6)*b-b^2+5 = 0

DELTA = (5/6)^2-(-1*4*5)

DELTA = 745/36

DELTA > 0

b = ((745/36)^(1/2)-(5/6))/(-1*2) or b = (-(5/6)-(745/36)^(1/2))/(-1*2)

b = ((745/36)^(1/2)-5/6)/(-2) or b = ((745/36)^(1/2)+5/6)/2

b in { ((745/36)^(1/2)-5/6)/(-2), ((745/36)^(1/2)+5/6)/2} 

b in { ((745/36)^(1/2)-5/6)/(-2), ((745/36)^(1/2)+5/6)/2 }

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