7b+b-7/b-1

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Solution for 7b+b-7/b-1 equation: 


D( b )

b = 0

b = 0

b = 0

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

7*b+b-(7/b)-1 = 0

7*b+b-7*b^-1-1 = 0

8*b^1-7*b^-1-1*b^0 = 0

(8*b^2-1*b^1-7*b^0)/(b^1) = 0 // * b^2

b^1*(8*b^2-1*b^1-7*b^0) = 0

b^1

8*b^2-b-7 = 0

8*b^2-b-7 = 0

DELTA = (-1)^2-(-7*4*8)

DELTA = 225

DELTA > 0

b = (225^(1/2)+1)/(2*8) or b = (1-225^(1/2))/(2*8)

b = 1 or b = -7/8

b in { -7/8, 1} 

b in { -7/8, 1 }

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