4d+1/d+9

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Solution for 4d+1/d+9 equation: 


D( d )

d = 0

d = 0

d = 0

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

4*d+1/d+9 = 0

4*d^1+1*d^-1+9*d^0 = 0

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

d^1*(4*d^2+9*d^1+1*d^0) = 0

d^1

4*d^2+9*d+1 = 0

4*d^2+9*d+1 = 0

DELTA = 9^2-(1*4*4)

DELTA = 65

DELTA > 0

d = (65^(1/2)-9)/(2*4) or d = (-65^(1/2)-9)/(2*4)

d = (65^(1/2)-9)/8 or d = (-(65^(1/2)+9))/8

d in { (-(65^(1/2)+9))/8, (65^(1/2)-9)/8} 

d in { (-(65^(1/2)+9))/8, (65^(1/2)-9)/8 }

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