b/2-4/b=-7/2

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Solution for b/2-4/b=-7/2 equation: 


D( b )

b = 0

b = 0

b = 0

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

b/2-(4/b) = -7/2 // + -7/2

b/2-(4/b)-(-7/2) = 0

b/2-4*b^-1+7/2 = 0

1/2*b^1-4*b^-1+7/2*b^0 = 0

(1/2*b^2+7/2*b^1-4*b^0)/(b^1) = 0 // * b^2

b^1*(1/2*b^2+7/2*b^1-4*b^0) = 0

b^1

(1/2)*b^2+(7/2)*b-4 = 0

(1/2)*b^2+(7/2)*b-4 = 0

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

DELTA = 81/4

DELTA > 0

b = ((81/4)^(1/2)-(7/2))/(2*(1/2)) or b = (-(7/2)-(81/4)^(1/2))/(2*(1/2))

b = 1 or b = -8

b in { -8, 1} 

b in { -8, 1 }

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