(4/b)-(1/2b)=(-7/4)

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Solution for (4/b)-(1/2b)=(-7/4) equation:


D( b )

b = 0

b = 0

b = 0

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

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

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

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

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

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

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

b^1

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

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

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

DELTA = 177/16

DELTA > 0

b = ((177/16)^(1/2)-(7/4))/(2*(-1/2)) or b = (-(7/4)-(177/16)^(1/2))/(2*(-1/2))

b = 7/4-(177/16)^(1/2) or b = (177/16)^(1/2)+7/4

b in { 7/4-(177/16)^(1/2), (177/16)^(1/2)+7/4}

b in { 7/4-(177/16)^(1/2), (177/16)^(1/2)+7/4 }

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