4d+1/d+9=-3/-2

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Solution for 4d+1/d+9=-3/-2 equation:


D( d )

d = 0

d = 0

d = 0

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

4*d+1/d+9 = -3/(-2) // + -3/(-2)

4*d+1/d-(-3/(-2))+9 = 0

4*d+1/d-3/2+9 = 0

4*d^1+1*d^-1+15/2*d^0 = 0

(4*d^2+15/2*d^1+1*d^0)/(d^1) = 0 // * d^2

d^1*(4*d^2+15/2*d^1+1*d^0) = 0

d^1

4*d^2+(15/2)*d+1 = 0

4*d^2+(15/2)*d+1 = 0

DELTA = (15/2)^2-(1*4*4)

DELTA = 161/4

DELTA > 0

d = ((161/4)^(1/2)-(15/2))/(2*4) or d = (-(15/2)-(161/4)^(1/2))/(2*4)

d = ((161/4)^(1/2)-15/2)/8 or d = (-((161/4)^(1/2)+15/2))/8

d in { (-((161/4)^(1/2)+15/2))/8, ((161/4)^(1/2)-15/2)/8}

d in { (-((161/4)^(1/2)+15/2))/8, ((161/4)^(1/2)-15/2)/8 }

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