8b+10b-12/b+2

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Solution for 8b+10b-12/b+2 equation: 


D( b )

b = 0

b = 0

b = 0

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

8*b+10*b-(12/b)+2 = 0

8*b+10*b-12*b^-1+2 = 0

18*b^1-12*b^-1+2*b^0 = 0

(18*b^2+2*b^1-12*b^0)/(b^1) = 0 // * b^2

b^1*(18*b^2+2*b^1-12*b^0) = 0

b^1

18*b^2+2*b-12 = 0

18*b^2+2*b-12 = 0

DELTA = 2^2-(-12*4*18)

DELTA = 868

DELTA > 0

b = (868^(1/2)-2)/(2*18) or b = (-868^(1/2)-2)/(2*18)

b = (2*217^(1/2)-2)/36 or b = (-2*217^(1/2)-2)/36

b in { (-2*217^(1/2)-2)/36, (2*217^(1/2)-2)/36} 

b in { (-2*217^(1/2)-2)/36, (2*217^(1/2)-2)/36 }

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