b/13-3/b=8/13

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Solution for b/13-3/b=8/13 equation: 


D( b )

b = 0

b = 0

b = 0

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

b/13-(3/b) = 8/13 // - 8/13

b/13-(3/b)-(8/13) = 0

b/13-3*b^-1-8/13 = 0

1/13*b^1-3*b^-1-8/13*b^0 = 0

(1/13*b^2-8/13*b^1-3*b^0)/(b^1) = 0 // * b^2

b^1*(1/13*b^2-8/13*b^1-3*b^0) = 0

b^1

(1/13)*b^2+(-8/13)*b-3 = 0

(1/13)*b^2+(-8/13)*b-3 = 0

DELTA = (-8/13)^2-(-3*4*(1/13))

DELTA = 220/169

DELTA > 0

b = ((220/169)^(1/2)-(-8/13))/(2*(1/13)) or b = (-(-8/13)-(220/169)^(1/2))/(2*(1/13))

b = 13/2*((220/169)^(1/2)+8/13) or b = 13/2*(8/13-(220/169)^(1/2))

b in { 13/2*(8/13-(220/169)^(1/2)), 13/2*((220/169)^(1/2)+8/13)} 

b in { 13/2*(8/13-(220/169)^(1/2)), 13/2*((220/169)^(1/2)+8/13) }

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