3/b-1/5b=11

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Solution for 3/b-1/5b=11 equation:


D( b )

b = 0

b = 0

b = 0

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

3/b-((1/5)*b) = 11 // - 11

3/b-((1/5)*b)-11 = 0

(-1/5)*b+3/b-11 = 0

3*b^-1-1/5*b^1-11*b^0 = 0

(3*b^0-1/5*b^2-11*b^1)/(b^1) = 0 // * b^2

b^1*(3*b^0-1/5*b^2-11*b^1) = 0

b^1

(-1/5)*b^2-11*b+3 = 0

(-1/5)*b^2-11*b+3 = 0

DELTA = (-11)^2-(3*4*(-1/5))

DELTA = 617/5

DELTA > 0

b = ((617/5)^(1/2)+11)/(2*(-1/5)) or b = (11-(617/5)^(1/2))/(2*(-1/5))

b = -5/2*((617/5)^(1/2)+11) or b = -5/2*(11-(617/5)^(1/2))

b in { -5/2*((617/5)^(1/2)+11), -5/2*(11-(617/5)^(1/2))}

b in { -5/2*((617/5)^(1/2)+11), -5/2*(11-(617/5)^(1/2)) }

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